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131168131345089 = 3323392076989713
BaseRepresentation
bin11101110100101111110101…
…110111111110101011000001
3122012102112212121012222202000
4131310233311313332223001
5114143024313111020324
61142545450242414213
736425404400256246
oct3564576567765301
9565375777188660
10131168131345089
1138881101664193
1212865319961369
1358261425ca527
1424568000135cd
151026eb658e9c9
hex774bf5dfeac1

131168131345089 has 16 divisors (see below), whose sum is σ = 194406237230400. Its totient is φ = 87408035039808.

The previous prime is 131168131345057. The next prime is 131168131345109. The reversal of 131168131345089 is 980543131861131.

131168131345089 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 6 + 81 + 31 + 3 + 450 + 89 = 666.

It is not a de Polignac number, because 131168131345089 - 25 = 131168131345057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131168131345049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1038431704 + ... + 1038558009.

It is an arithmetic number, because the mean of its divisors is an integer number (12150389826900).

Almost surely, 2131168131345089 is an apocalyptic number.

It is an amenable number.

131168131345089 is a deficient number, since it is larger than the sum of its proper divisors (63238105885311).

131168131345089 is a wasteful number, since it uses less digits than its factorization.

131168131345089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2076992061 (or 2076992055 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 131168131345089 in words is "one hundred thirty-one trillion, one hundred sixty-eight billion, one hundred thirty-one million, three hundred forty-five thousand, eighty-nine".

Divisors: 1 3 9 27 2339 7017 21051 63153 2076989713 6230969139 18692907417 56078722251 4858078938707 14574236816121 43722710448363 131168131345089