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131141342202112 = 281124233643537
BaseRepresentation
bin11101110100010110111001…
…000111100000100100000000
3122012022222201121201112011101
4131310112321013200210000
5114142104432100431422
61142525300110224144
736423435466306504
oct3564267107404400
9565288647645141
10131141342202112
1138870804909600
12128600a21b5054
135823763505938
1424553bc1bc304
1510264497aac27
hex7745b91e0900

131141342202112 has 54 divisors (see below), whose sum is σ = 287731115773094. Its totient is φ = 59609700986880.

The previous prime is 131141342202071. The next prime is 131141342202137. The reversal of 131141342202112 is 211202243141131.

It can be written as a sum of positive squares in only one way, i.e., 123709917270016 + 7431424932096 = 11122496^2 + 2726064^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2116790793 + ... + 2116852744.

Almost surely, 2131141342202112 is an apocalyptic number.

It is an amenable number.

131141342202112 is an abundant number, since it is smaller than the sum of its proper divisors (156589773570982).

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

131141342202112 is an equidigital number, since it uses as much as digits as its factorization.

131141342202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4233643575 (or 4233643550 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

Adding to 131141342202112 its reverse (211202243141131), we get a palindrome (342343585343243).

The spelling of 131141342202112 in words is "one hundred thirty-one trillion, one hundred forty-one billion, three hundred forty-two million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 704 968 1408 1936 2816 3872 7744 15488 30976 4233643537 8467287074 16934574148 33869148296 46570078907 67738296592 93140157814 135476593184 186280315628 270953186368 372560631256 512270867977 541906372736 745121262512 1024541735954 1083812745472 1490242525024 2049083471908 2980485050048 4098166943816 5960970100096 8196333887632 11921940200192 16392667775264 32785335550528 65570671101056 131141342202112