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101855923164 = 223217166431247
BaseRepresentation
bin101111011011100010…
…1100000101111011100
3100201220111220000012200
41132313011200233130
53132100104020124
6114443021531500
710234041030132
oct1366705405734
9321814800180
10101855923164
113a2190166a6
12178a7413b90
1397b317cc28
144d03733752
1529b213cbc9
hex17b7160bdc

101855923164 has 36 divisors (see below), whose sum is σ = 272614384224. Its totient is φ = 31954799232.

The previous prime is 101855923123. The next prime is 101855923219. The reversal of 101855923164 is 461329558101.

It is a happy number.

101855923164 is a `hidden beast` number, since 1 + 0 + 1 + 8 + 559 + 2 + 31 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83215012 + ... + 83216235.

It is an arithmetic number, because the mean of its divisors is an integer number (7572621784).

Almost surely, 2101855923164 is an apocalyptic number.

It is an amenable number.

101855923164 is an abundant number, since it is smaller than the sum of its proper divisors (170758461060).

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

101855923164 is a wasteful number, since it uses less digits than its factorization.

101855923164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166431274 (or 166431269 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 101855923164 in words is "one hundred one billion, eight hundred fifty-five million, nine hundred twenty-three thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 166431247 332862494 499293741 665724988 998587482 1497881223 1997174964 2829331199 2995762446 5658662398 5991524892 8487993597 11317324796 16975987194 25463980791 33951974388 50927961582 101855923164