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131345524017 = 3249936597993
BaseRepresentation
bin111101001010011001…
…1011010010100110001
3110120000200202221120200
41322110303122110301
54122443423232032
6140201142225413
712326602350621
oct1722463322461
9416020687520
10131345524017
1150781140254
1221557425269
13c50288b7a6
14650007a881
15363b04747c
hex1e94cda531

131345524017 has 24 divisors (see below), whose sum is σ = 190177260000. Its totient is φ = 87353391168.

The previous prime is 131345523989. The next prime is 131345524021. The reversal of 131345524017 is 710425543131.

131345524017 is a `hidden beast` number, since 1 + 31 + 34 + 552 + 40 + 1 + 7 = 666.

It is not a de Polignac number, because 131345524017 - 27 = 131345523889 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131345524067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16428573 + ... + 16436565.

It is an arithmetic number, because the mean of its divisors is an integer number (7924052500).

Almost surely, 2131345524017 is an apocalyptic number.

It is an amenable number.

131345524017 is a deficient number, since it is larger than the sum of its proper divisors (58831735983).

131345524017 is a wasteful number, since it uses less digits than its factorization.

131345524017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12157 (or 12154 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 131345524017 in words is "one hundred thirty-one billion, three hundred forty-five million, five hundred twenty-four thousand, seventeen".

Divisors: 1 3 9 499 1497 3659 4491 7993 10977 23979 32931 71937 1825841 3988507 5477523 11965521 16432569 29246387 35896563 87739161 263217483 14593947113 43781841339 131345524017