Search a number
2901 = 3967
BaseRepresentation
bin101101010101
310222110
4231111
543101
621233
711313
oct5525
93873
102901
1121a8
121819
131422
1410b3
15cd6
hexb55

2901 has 4 divisors (see below), whose sum is σ = 3872. Its totient is φ = 1932.

The previous prime is 2897. The next prime is 2903. The reversal of 2901 is 1092.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 2901 - 22 = 2897 is a prime.

It is a D-number.

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

2901 is a lucky number.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 481 + ... + 486.

It is an arithmetic number, because the mean of its divisors is an integer number (968).

22901 is an apocalyptic number.

It is an amenable number.

2901 is a deficient number, since it is larger than the sum of its proper divisors (971).

2901 is an equidigital number, since it uses as much as digits as its factorization.

2901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970.

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 2901 is about 53.8609320380. The cubic root of 2901 is about 14.2620704131.

Adding to 2901 its reverse (1092), we get a palindrome (3993).

It can be divided in two parts, 2 and 901, that added together give a triangular number (903 = T42).

The spelling of 2901 in words is "two thousand, nine hundred one".

Divisors: 1 3 967 2901
The text passage provides a detailed mathematical description of the number 2901, including its properties, divisors, and various representations in different bases. It also includes some interesting facts about the number, such as it being a semiprime, a Blum integer, and a lucky number.
no_question

the passage does not contain any explicit mathematical questions or requests for calculations. it is purely informational.
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>
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- MULTIPLE_QUESTIONS
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system
Search a number
2901 = 3967
BaseRepresentation
bin101101010101
310222110
4231111
543101
621233
711313
oct5525
93873
102901
1121a8
121819
131422
1410b3
15cd6
hexb55

2901 has 4 divisors (see below), whose sum is σ = 3872. Its totient is φ = 1932.

The previous prime is 2897. The next prime is 2903. The reversal of 2901 is 1092.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 2901 - 22 = 2897 is a prime.

It is a D-number.

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

2901 is a lucky number.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 481 + ... + 486.

It is an arithmetic number, because the mean of its divisors is an integer number (968).

22901 is an apocalyptic number.

It is an amenable number.

2901 is a deficient number, since it is larger than the sum of its proper divisors (971).

2901 is an equidigital number, since it uses as much as digits as its factorization.

2901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970.

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 2901 is about 53.8609320380. The cubic root of 2901 is about 14.2620704131.

Adding to 2901 its reverse (1092), we get a palindrome (3993).

It can be divided in two parts, 2 and 901, that added together give a triangular number (903 = T42).

The spelling of 2901 in words is "two thousand, nine hundred one".

Divisors: 1 3 967 2901
user
The text passage provides a detailed mathematical description of the number 2901, including its properties, divisors, and various representations in different bases. It also includes some interesting facts about the number, such as it being a semiprime, a Blum integer, and a lucky number.

TYPE: NO_QUESTION

The passage does not contain any explicit mathematical questions or requests for calculations. It is purely informational.