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131142422187732 = 22316765440330433
BaseRepresentation
bin11101110100010111111001…
…011111010100111011010100
3122012100002111212220110220210
4131310113321133110323110
5114142114140040001412
61142525555210125420
736423504322113564
oct3564277137247324
9565302455813823
10131142422187732
11388712094a37aa
1212860343a20870
1358238a6199797
1424554817cada4
1510264ae4db83c
hex7745f97d4ed4

131142422187732 has 24 divisors (see below), whose sum is σ = 307831314361536. Its totient is φ = 43452379406848.

The previous prime is 131142422187731. The next prime is 131142422187739. The reversal of 131142422187732 is 237781224241131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131142422187731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32720163213 + ... + 32720167220.

It is an arithmetic number, because the mean of its divisors is an integer number (12826304765064).

Almost surely, 2131142422187732 is an apocalyptic number.

131142422187732 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131142422187732 is an abundant number, since it is smaller than the sum of its proper divisors (176688892173804).

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

131142422187732 is a wasteful number, since it uses less digits than its factorization.

131142422187732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65440330607 (or 65440330605 counting only the distinct ones).

The product of its digits is 903168, while the sum is 48.

The spelling of 131142422187732 in words is "one hundred thirty-one trillion, one hundred forty-two billion, four hundred twenty-two million, one hundred eighty-seven thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 12 167 334 501 668 1002 2004 65440330433 130880660866 196320991299 261761321732 392641982598 785283965196 10928535182311 21857070364622 32785605546933 43714140729244 65571211093866 131142422187732