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131142422221092 = 22323642845061697
BaseRepresentation
bin11101110100010111111001…
…011111011101000100100100
3122012100002111212222011200100
4131310113321133131010210
5114142114140042033332
61142525555210544100
736423504322313052
oct3564277137350444
9565302455864610
10131142422221092
1138871209516877
1212860343a38030
1358238a61aba19
1424554817d91d2
1510264ae4e667c
hex7745f97dd124

131142422221092 has 18 divisors (see below), whose sum is σ = 331498900614518. Its totient is φ = 43714140740352.

The previous prime is 131142422221091. The next prime is 131142422221159. The reversal of 131142422221092 is 290122224241131.

131142422221092 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 4 + 2 + 422 + 221 + 0 + 9 + 2 = 666.

131142422221092 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 124705819814976 + 6436602406116 = 11167176^2 + 2537046^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 3642845061697 = 131142422221092 / (1 + 3 + 1 + 1 + 4 + 2 + 4 + 2 + 2 + 2 + 2 + 1 + 0 + 9 + 2).

It is not an unprimeable number, because it can be changed into a prime (131142422221091) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1821422530813 + ... + 1821422530884.

Almost surely, 2131142422221092 is an apocalyptic number.

131142422221092 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131142422221092 is an abundant number, since it is smaller than the sum of its proper divisors (200356478393426).

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

131142422221092 is a wasteful number, since it uses less digits than its factorization.

131142422221092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3642845061707 (or 3642845061702 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 131142422221092 in words is "one hundred thirty-one trillion, one hundred forty-two billion, four hundred twenty-two million, two hundred twenty-one thousand, ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 3642845061697 7285690123394 10928535185091 14571380246788 21857070370182 32785605555273 43714140740364 65571211110546 131142422221092