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107137157661 = 3211904128629
BaseRepresentation
bin110001111000111011…
…1110100101000011101
3101020112120110111222100
41203301313310220131
53223404103021121
6121115041035313
710511646546222
oct1436167645035
9336476414870
10107137157661
1141489150306
1218920025b39
13a145369061
145284cc1949
152bc0ae8026
hex18f1df4a1d

107137157661 has 6 divisors (see below), whose sum is σ = 154753672190. Its totient is φ = 71424771768.

The previous prime is 107137157641. The next prime is 107137157689. The reversal of 107137157661 is 166751731701.

107137157661 is a `hidden beast` number, since 1 + 0 + 7 + 1 + 3 + 71 + 576 + 6 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 101844595161 + 5292562500 = 319131^2 + 72750^2 .

It is not a de Polignac number, because 107137157661 - 211 = 107137155613 is a prime.

It is a super-2 number, since 2×1071371576612 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107137157641) 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, 5952064306 + ... + 5952064323.

Almost surely, 2107137157661 is an apocalyptic number.

It is an amenable number.

107137157661 is a deficient number, since it is larger than the sum of its proper divisors (47616514529).

107137157661 is a wasteful number, since it uses less digits than its factorization.

107137157661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11904128635 (or 11904128632 counting only the distinct ones).

The product of its (nonzero) digits is 185220, while the sum is 45.

The spelling of 107137157661 in words is "one hundred seven billion, one hundred thirty-seven million, one hundred fifty-seven thousand, six hundred sixty-one".

Divisors: 1 3 9 11904128629 35712385887 107137157661