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131142422220498 = 232132919325437993
BaseRepresentation
bin11101110100010111111001…
…011111011100111011010010
3122012100002111212222010212100
4131310113321133130323102
5114142114140042023443
61142525555210541230
736423504322311243
oct3564277137347322
9565302455863770
10131142422220498
1138871209516387
1212860343a37816
1358238a61ab680
1424554817d8cca
1510264ae4e63d3
hex7745f97dced2

131142422220498 has 48 divisors (see below), whose sum is σ = 316550674341720. Its totient is φ = 38960082991872.

The previous prime is 131142422220479. The next prime is 131142422220499. The reversal of 131142422220498 is 894022224241131.

131142422220498 is a `hidden beast` number, since 1 + 3 + 1 + 14 + 2 + 422 + 2 + 204 + 9 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 89597526566409 + 41544895654089 = 9465597^2 + 6445533^2 .

It is not an unprimeable number, because it can be changed into a prime (131142422220499) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9662712211 + ... + 9662725782.

Almost surely, 2131142422220498 is an apocalyptic number.

131142422220498 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

131142422220498 is an abundant number, since it is smaller than the sum of its proper divisors (185408252121222).

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

131142422220498 is a wasteful number, since it uses less digits than its factorization.

131142422220498 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19325438043 (or 19325438040 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 131142422220498 in words is "one hundred thirty-one trillion, one hundred forty-two billion, four hundred twenty-two million, two hundred twenty thousand, four hundred ninety-eight".

Divisors: 1 2 3 6 9 13 18 26 29 39 58 78 87 117 174 234 261 377 522 754 1131 2262 3393 6786 19325437993 38650875986 57976313979 115952627958 173928941937 251230693909 347857883874 502461387818 560437701797 753692081727 1120875403594 1507384163454 1681313105391 2261076245181 3362626210782 4522152490362 5043939316173 7285690123361 10087878632346 14571380246722 21857070370083 43714140740166 65571211110249 131142422220498