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131012223400120 = 23539676203133103
BaseRepresentation
bin11101110010011110101001…
…000010010111100010111000
3122011212122110002220202221211
4131302132221002113202320
5114133001013142300440
61142350103510212504
736411215012511526
oct3562365102274270
9564778402822854
10131012223400120
1138820a7669a597
121283b068654134
13581452707375a
14244d04db77316
151022dddeaceea
hex7727a90978b8

131012223400120 has 64 divisors (see below), whose sum is σ = 294901559377920. Its totient is φ = 52382839415424.

The previous prime is 131012223400117. The next prime is 131012223400127. The reversal of 131012223400120 is 21004322210131.

It is a junction number, because it is equal to n+sod(n) for n = 131012223400091 and 131012223400100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131012223400127) 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, 984225489 + ... + 984358591.

It is an arithmetic number, because the mean of its divisors is an integer number (4607836865280).

Almost surely, 2131012223400120 is an apocalyptic number.

131012223400120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131012223400120 is an abundant number, since it is smaller than the sum of its proper divisors (163889335977800).

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

131012223400120 is a wasteful number, since it uses less digits than its factorization.

131012223400120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143284 (or 143280 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 131012223400120 its reverse (21004322210131), we get a palindrome (152016545610251).

The spelling of 131012223400120 in words is "one hundred thirty-one trillion, twelve billion, two hundred twenty-three million, four hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 3967 6203 7934 12406 15868 19835 24812 31015 31736 39670 49624 62030 79340 124060 133103 158680 248120 266206 532412 665515 1064824 1331030 2662060 5324120 24607301 49214602 98429204 123036505 196858408 246073010 492146020 528019601 825637909 984292040 1056039202 1651275818 2112078404 2640098005 3302551636 4128189545 4224156808 5280196010 6605103272 8256379090 10560392020 16512758180 21120784040 33025516360 3275305585003 6550611170006 13101222340012 16376527925015 26202444680024 32753055850030 65506111700060 131012223400120