In a division formula with a remainder, the quotient is 2 greater than the divisor, and among the dividend, divisor, quotient and remainder, the difference between the largest number and the smallest number is 1023. May I ask: What is the largest possible sum of the 4 numbers in this formula?
在一个带有余数的除法算式中，商比除数大2，在被除数、除数、商和余数中，最大数与最小数之差是1023．请问：此算式中的4个数之和最大可能是多少？
<gadget id="calculator">3 * 11 * 31</gadget>
<output>1_023</output>

<gadget id="calculator">1_023 + 30 + 31 + 33 + 30</gadget>
<output>1_147</output>

<result>1_147</result>