# 13121 (number)

13121 is an odd five-digits prime number following 13120 and preceding 13122. In scientific notation, it is written as 1.3121 × 104. The sum of its digits is 8. It has a total of one prime factor and 2 positive divisors. There are 13,120 positive integers (up to 13121) that are relatively prime to 13121.

## Basic properties

• Is Prime? yes
• Number parity odd
• Number length 5
• Sum of Digits 8
• Digital Root 8

## Name

Name thirteen thousand one hundred twenty-one

## Notation

Scientific notation 1.3121 × 104 13.121 × 103

## Prime Factorization of 13121

Prime Factorization 13121

Prime number
Distinct Factors Total Factors Radical ω 1 Total number of distinct prime factors Ω 1 Total number of prime factors rad 13121 Product of the distinct prime numbers λ -1 Returns the parity of Ω(n), such that λ(n) = (-1)Ω(n) μ -1 Returns: 1, if n has an even number of prime factors (and is square free) −1, if n has an odd number of prime factors (and is square free) 0, if n has a squared prime factor Λ 9.48197 Returns log(p) if n is a power pk of any prime p (for any k >= 1), else returns 0

The prime factorization of 13121 is 13121. Since it has only one prime factor, 13121 is a prime number.

## Divisors of 13121

2 divisors

 Even divisors 0 2 2 0
Total Divisors Sum of Divisors Aliquot Sum τ 2 Total number of the positive divisors of n σ 13122 Sum of all the positive divisors of n s 1 Sum of the proper positive divisors of n A 6561 Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) G 114.547 Returns the nth root of the product of n divisors H 1.99985 Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 13121 can be divided by 2 positive divisors (out of which none is even, and 2 are odd). The sum of these divisors (counting 13121) is 13122, the average is 6561.

## Other Arithmetic Functions (n = 13121)

1 φ(n) n
Euler Totient Carmichael Lambda Prime Pi φ 13120 Total number of positive integers not greater than n that are coprime to n λ 13120 Smallest positive number such that aλ(n) ≡ 1 (mod n) for all a coprime to n π ≈ 1562 Total number of primes less than or equal to n r2 8 The number of ways n can be represented as the sum of 2 squares

There are 13,120 positive integers (less than 13121) that are coprime with 13121. And there are approximately 1,562 prime numbers less than or equal to 13121.

## Divisibility of 13121

m n mod m
2 1
3 2
4 1
5 1
6 5
7 3
8 1
9 8

13121 is not divisible by any number less than or equal to 9.

• Arithmetic
• Prime
• Deficient

• Polite

• Prime Power
• Square Free

## Base conversion 13121

Base System Value
2 Binary 11001101000001
3 Ternary 122222222
4 Quaternary 3031001
5 Quinary 404441
6 Senary 140425
8 Octal 31501
10 Decimal 13121
12 Duodecimal 7715
20 Vigesimal 1cg1
36 Base36 a4h

## Basic calculations (n = 13121)

### Multiplication

n×y
 n×2 26242 39363 52484 65605

### Division

n÷y
 n÷2 6560.5 4373.67 3280.25 2624.2

### Exponentiation

ny
 n2 172160641 2258919770561 29639286309530881 388897075667354689601

### Nth Root

y√n
 2√n 114.547 23.5861 10.7027 6.66183

## 13121 as geometric shapes

### Circle

 Diameter 26242 82441.7 5.40859e+08

### Sphere

 Volume 9.46214e+12 2.16343e+09 82441.7

### Square

Length = n
 Perimeter 52484 1.72161e+08 18555.9

### Cube

Length = n
 Surface area 1.03296e+09 2.25892e+12 22726.2

### Equilateral Triangle

Length = n
 Perimeter 39363 7.45477e+07 11363.1

### Triangular Pyramid

Length = n
 Surface area 2.98191e+08 2.66216e+11 10713.3

## Cryptographic Hash Functions

md5 74890305f6e5581d18ccfdbc2dbd7939 27cee4016bab9e38d2b80a91d806e8d405d93044 9f88dcfe8bac5298877c145f4beb70f7121afb3e8142b32ac8187fa535ffdab6 ca19b25b07c749ea0e9f26952a8ac19cdf3aede9e4787f5d103f1ebb27c39bf6e60a46c9203ca9d79ca0b2cb689e755c8b5214e431d9b0f5a3d9e2f944a39dde a3965fe1069b30fe669f210bb54d396feb983426
The provided text passage is a detailed description of the number 13121, including its properties, prime factorization, and various mathematical representations. It does not contain any specific mathematical questions or problems that require solving.
no_question
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
# 13121 (number)

13121 is an odd five-digits prime number following 13120 and preceding 13122. In scientific notation, it is written as 1.3121 × 104. The sum of its digits is 8. It has a total of one prime factor and 2 positive divisors. There are 13,120 positive integers (up to 13121) that are relatively prime to 13121.

## Basic properties

• Is Prime? yes
• Number parity odd
• Number length 5
• Sum of Digits 8
• Digital Root 8

## Name

Name thirteen thousand one hundred twenty-one

## Notation

Scientific notation 1.3121 × 104 13.121 × 103

## Prime Factorization of 13121

Prime Factorization 13121

Prime number
Distinct Factors Total Factors Radical ω 1 Total number of distinct prime factors Ω 1 Total number of prime factors rad 13121 Product of the distinct prime numbers λ -1 Returns the parity of Ω(n), such that λ(n) = (-1)Ω(n) μ -1 Returns: 1, if n has an even number of prime factors (and is square free) −1, if n has an odd number of prime factors (and is square free) 0, if n has a squared prime factor Λ 9.48197 Returns log(p) if n is a power pk of any prime p (for any k >= 1), else returns 0

The prime factorization of 13121 is 13121. Since it has only one prime factor, 13121 is a prime number.

## Divisors of 13121

2 divisors

 Even divisors 0 2 2 0
Total Divisors Sum of Divisors Aliquot Sum τ 2 Total number of the positive divisors of n σ 13122 Sum of all the positive divisors of n s 1 Sum of the proper positive divisors of n A 6561 Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) G 114.547 Returns the nth root of the product of n divisors H 1.99985 Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 13121 can be divided by 2 positive divisors (out of which none is even, and 2 are odd). The sum of these divisors (counting 13121) is 13122, the average is 6561.

## Other Arithmetic Functions (n = 13121)

1 φ(n) n
Euler Totient Carmichael Lambda Prime Pi φ 13120 Total number of positive integers not greater than n that are coprime to n λ 13120 Smallest positive number such that aλ(n) ≡ 1 (mod n) for all a coprime to n π ≈ 1562 Total number of primes less than or equal to n r2 8 The number of ways n can be represented as the sum of 2 squares

There are 13,120 positive integers (less than 13121) that are coprime with 13121. And there are approximately 1,562 prime numbers less than or equal to 13121.

## Divisibility of 13121

m n mod m
2 1
3 2
4 1
5 1
6 5
7 3
8 1
9 8

13121 is not divisible by any number less than or equal to 9.

• Arithmetic
• Prime
• Deficient

• Polite

• Prime Power
• Square Free

## Base conversion 13121

Base System Value
2 Binary 11001101000001
3 Ternary 122222222
4 Quaternary 3031001
5 Quinary 404441
6 Senary 140425
8 Octal 31501
10 Decimal 13121
12 Duodecimal 7715
20 Vigesimal 1cg1
36 Base36 a4h

## Basic calculations (n = 13121)

### Multiplication

n×y
 n×2 26242 39363 52484 65605

### Division

n÷y
 n÷2 6560.5 4373.67 3280.25 2624.2

### Exponentiation

ny
 n2 172160641 2258919770561 29639286309530881 388897075667354689601

### Nth Root

y√n
 2√n 114.547 23.5861 10.7027 6.66183

## 13121 as geometric shapes

### Circle

 Diameter 26242 82441.7 5.40859e+08

### Sphere

 Volume 9.46214e+12 2.16343e+09 82441.7

### Square

Length = n
 Perimeter 52484 1.72161e+08 18555.9

### Cube

Length = n
 Surface area 1.03296e+09 2.25892e+12 22726.2

### Equilateral Triangle

Length = n
 Perimeter 39363 7.45477e+07 11363.1

### Triangular Pyramid

Length = n
 Surface area 2.98191e+08 2.66216e+11 10713.3

## Cryptographic Hash Functions

md5 74890305f6e5581d18ccfdbc2dbd7939 27cee4016bab9e38d2b80a91d806e8d405d93044 9f88dcfe8bac5298877c145f4beb70f7121afb3e8142b32ac8187fa535ffdab6 ca19b25b07c749ea0e9f26952a8ac19cdf3aede9e4787f5d103f1ebb27c39bf6e60a46c9203ca9d79ca0b2cb689e755c8b5214e431d9b0f5a3d9e2f944a39dde a3965fe1069b30fe669f210bb54d396feb983426
user
The provided text passage is a detailed description of the number 13121, including its properties, prime factorization, and various mathematical representations. It does not contain any specific mathematical questions or problems that require solving.

TYPE: NO_QUESTION