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131402031241032 = 2334832443143523
BaseRepresentation
bin11101111000001001101011…
…011001010001011101001000
3122020020220121111010211010000
4131320021223121101131020
5114210342324444203112
61143245132041123000
736451324554501156
oct3570115331213510
9566226544124100
10131402031241032
1138961319a9aa12
12128a2716489460
135842209c54216
142463c6c4763d6
15102d105bdc7dc
hex77826b651748

131402031241032 has 80 divisors (see below), whose sum is σ = 372481661669040. Its totient is φ = 43272958061664.

The previous prime is 131402031241031. The next prime is 131402031241043. The reversal of 131402031241032 is 230142130204131.

131402031241032 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 0 + 203 + 12 + 410 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 131402031240987 and 131402031241005.

It is not an unprimeable number, because it can be changed into a prime (131402031241031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1221517978 + ... + 1221625545.

It is an arithmetic number, because the mean of its divisors is an integer number (4656020770863).

Almost surely, 2131402031241032 is an apocalyptic number.

131402031241032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131402031241032 is an abundant number, since it is smaller than the sum of its proper divisors (241079630428008).

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

131402031241032 is a wasteful number, since it uses less digits than its factorization.

131402031241032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2443143624 (or 2443143611 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 131402031241032 its reverse (230142130204131), we get a palindrome (361544161445163).

The spelling of 131402031241032 in words is "one hundred thirty-one trillion, four hundred two billion, thirty-one million, two hundred forty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 83 108 162 166 216 249 324 332 498 648 664 747 996 1494 1992 2241 2988 4482 5976 6723 8964 13446 17928 26892 53784 2443143523 4886287046 7329430569 9772574092 14658861138 19545148184 21988291707 29317722276 43976583414 58635444552 65964875121 87953166828 131929750242 175906333656 197894625363 202780912409 263859500484 395789250726 405561824818 527719000968 608342737227 791578501452 811123649636 1216685474454 1583157002904 1622247299272 1825028211681 2433370948908 3650056423362 4866741897816 5475084635043 7300112846724 10950169270086 14600225693448 16425253905129 21900338540172 32850507810258 43800677080344 65701015620516 131402031241032