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131022000000012 = 223113415729059663
BaseRepresentation
bin11101110010100111101111…
…110001001000110000001100
3122011220120200110022111202010
4131302213233301020300030
5114133131024000000022
61142354401552501220
736412012205316312
oct3562475761106014
9564816613274663
10131022000000012
1138825133299810
1212840b3684a810
1358154246a29c4
14244d6da3860b2
1510232b243d50c
hex7729efc48c0c

131022000000012 has 48 divisors (see below), whose sum is σ = 333520320978432. Its totient is φ = 39702472610880.

The previous prime is 131022000000011. The next prime is 131022000000049. The reversal of 131022000000012 is 210000000220131.

131022000000012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (131022000000011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10021108 + ... + 19038555.

It is an arithmetic number, because the mean of its divisors is an integer number (6948340020384).

Almost surely, 2131022000000012 is an apocalyptic number.

131022000000012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131022000000012 is an abundant number, since it is smaller than the sum of its proper divisors (202498320978420).

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

131022000000012 is a wasteful number, since it uses less digits than its factorization.

131022000000012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29093838 (or 29093836 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 131022000000012 its reverse (210000000220131), we get a palindrome (341022000220143).

The spelling of 131022000000012 in words is "one hundred thirty-one trillion, twenty-two billion, twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 34157 68314 102471 136628 204942 375727 409884 751454 1127181 1502908 2254362 4508724 29059663 58119326 87178989 116238652 174357978 319656293 348715956 639312586 958968879 1278625172 1917937758 3835875516 992590909091 1985181818182 2977772727273 3970363636364 5955545454546 10918500000001 11911090909092 21837000000002 32755500000003 43674000000004 65511000000006 131022000000012