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131130312023232 = 2632409955539593
BaseRepresentation
bin11101110100001100100111…
…101010101101110011000000
3122012021221020220111101021200
4131310030213222231303000
5114141414334334220412
61142520233403221200
736422565242321544
oct3564144752556300
9565257226441250
10131130312023232
1138867064638995
1212859b24217800
1358226c6272a82
142454a532d3a24
1510260012599dc
hex774327aadcc0

131130312023232 has 84 divisors (see below), whose sum is σ = 375953065745400. Its totient is φ = 43699439619072.

The previous prime is 131130312023213. The next prime is 131130312023299. The reversal of 131130312023232 is 232320213031131.

131130312023232 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 303 + 120 + 2 + 3 + 232 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 131130312023196 and 131130312023205.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25408773 + ... + 30130820.

Almost surely, 2131130312023232 is an apocalyptic number.

131130312023232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131130312023232 is an abundant number, since it is smaller than the sum of its proper divisors (244822753722168).

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

131130312023232 is a wasteful number, since it uses less digits than its factorization.

131130312023232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55543710 (or 55543697 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 131130312023232 its reverse (232320213031131), we get a palindrome (363450525054363).

The spelling of 131130312023232 in words is "one hundred thirty-one trillion, one hundred thirty billion, three hundred twelve million, twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 4099 8198 12297 16396 24594 32792 36891 49188 65584 73782 98376 131168 147564 196752 262336 295128 393504 590256 787008 1180512 2361024 55539593 111079186 166618779 222158372 333237558 444316744 499856337 666475116 888633488 999712674 1332950232 1777266976 1999425348 2665900464 3554533952 3998850696 5331800928 7997701392 10663601856 15995402784 31990805568 227656791707 455313583414 682970375121 910627166828 1365940750242 1821254333656 2048911125363 2731881500484 3642508667312 4097822250726 5463763000968 7285017334624 8195644501452 10927526001936 14570034669248 16391289002904 21855052003872 32782578005808 43710104007744 65565156011616 131130312023232