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12313112031 = 32112310352501
BaseRepresentation
bin10110111011110101…
…10010110111011111
31011210010021220022100
423131322302313133
5200204124041111
65353452420143
7614062503543
oct133572626737
934703256270
1012313112031
115249481350
122477777653
131212ca380c
1484b445a23
154c0ebe756
hex2ddeb2ddf

12313112031 has 48 divisors (see below), whose sum is σ = 20443018752. Its totient is φ = 7068600000.

The previous prime is 12313112017. The next prime is 12313112033. The reversal of 12313112031 is 13021131321.

It is not a de Polignac number, because 12313112031 - 213 = 12313103839 is a prime.

It is a super-2 number, since 2×123131120312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12313111995 and 12313112013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12313112033) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 208281 + ... + 260781.

It is an arithmetic number, because the mean of its divisors is an integer number (425896224).

Almost surely, 212313112031 is an apocalyptic number.

12313112031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12313112031 is a deficient number, since it is larger than the sum of its proper divisors (8129906721).

12313112031 is a wasteful number, since it uses less digits than its factorization.

12313112031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52644 (or 52641 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 12313112031 its reverse (13021131321), we get a palindrome (25334243352).

The spelling of 12313112031 in words is "twelve billion, three hundred thirteen million, one hundred twelve thousand, thirty-one".

Divisors: 1 3 9 11 23 33 69 99 103 207 253 309 759 927 1133 2277 2369 3399 7107 10197 21321 26059 52501 78177 157503 234531 472509 577511 1207523 1732533 3622569 5197599 5407603 10867707 13282753 16222809 39848259 48668427 59483633 119544777 124374869 178450899 373124607 535352697 1119373821 1368123559 4104370677 12313112031