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312133131012 = 22350351711917
BaseRepresentation
bin1001000101011001001…
…01011001101100000100
31002211200002112221111210
410202230211121230010
520103222040143022
6355220400131420
731356643560213
oct4425445315404
91084602487453
10312133131012
111104140191aa
12505b0906b70
1323584737081
14111706d707a
1581bc97aa0c
hex48ac959b04

312133131012 has 24 divisors (see below), whose sum is σ = 729758586816. Its totient is φ = 103837527328.

The previous prime is 312133131001. The next prime is 312133131043. The reversal of 312133131012 is 210131331213.

It is a happy number.

It is a super-2 number, since 2×3121331310122 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 312133131012.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25849923 + ... + 25861994.

It is an arithmetic number, because the mean of its divisors is an integer number (30406607784).

Almost surely, 2312133131012 is an apocalyptic number.

It is an amenable number.

312133131012 is an abundant number, since it is smaller than the sum of its proper divisors (417625455804).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

312133131012 is a wasteful number, since it uses less digits than its factorization.

312133131012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51712427 (or 51712425 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 312133131012 its reverse (210131331213), we get a palindrome (522264462225).

The spelling of 312133131012 in words is "three hundred twelve billion, one hundred thirty-three million, one hundred thirty-one thousand, twelve".

Divisors: 1 2 3 4 6 12 503 1006 1509 2012 3018 6036 51711917 103423834 155135751 206847668 310271502 620543004 26011094251 52022188502 78033282753 104044377004 156066565506 312133131012