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31023131321 = 74132934273
BaseRepresentation
bin11100111001000111…
…110110101010111001
32222002001111100200202
4130321013312222321
51002013410200241
622130221211545
72145532160000
oct347107665271
988061440622
1031023131321
111217a826806
126019700bb5
132c05340a50
141704297c37
15c18878d9b
hex7391f6ab9

31023131321 has 40 divisors (see below), whose sum is σ = 40320619080. Its totient is φ = 23698676736.

The previous prime is 31023131311. The next prime is 31023131323. The reversal of 31023131321 is 12313132013.

It can be written as a sum of positive squares in 4 ways, for example, as 5880589225 + 25142542096 = 76685^2 + 158564^2 .

It is not a de Polignac number, because 31023131321 - 26 = 31023131257 is a prime.

It is a super-2 number, since 2×310231313212 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31023131293 and 31023131302.

It is not an unprimeable number, because it can be changed into a prime (31023131323) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 888041 + ... + 922313.

It is an arithmetic number, because the mean of its divisors is an integer number (1008015477).

Almost surely, 231023131321 is an apocalyptic number.

It is an amenable number.

31023131321 is a deficient number, since it is larger than the sum of its proper divisors (9297487759).

31023131321 is an equidigital number, since it uses as much as digits as its factorization.

31023131321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34343 (or 34322 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 31023131321 its reverse (12313132013), we get a palindrome (43336263334).

The spelling of 31023131321 in words is "thirty-one billion, twenty-three million, one hundred thirty-one thousand, three hundred twenty-one".

Divisors: 1 7 13 29 49 91 203 343 377 637 1421 2401 2639 4459 9947 18473 31213 34273 69629 129311 239911 445549 905177 993917 1679377 3118843 6957419 11755639 12920921 21831901 48701933 82289473 90446447 152823307 340913531 633125129 1069763149 2386394717 4431875903 31023131321