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100376509920 = 25354317328111
BaseRepresentation
bin101110101111011100…
…1111111110111100000
3100121002102010000202120
41131132321333313200
53121032341304140
6114040132544240
710152265154031
oct1353671776740
9317072100676
10100376509920
1139629a17625
1217553a82080
13960881818b
144c0306ca88
15292730d1d0
hex175ee7fde0

100376509920 has 192 divisors, whose sum is σ = 325420913664. Its totient is φ = 25992529920.

The previous prime is 100376509897. The next prime is 100376509967. The reversal of 100376509920 is 29905673001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3556665 + ... + 3584775.

It is an arithmetic number, because the mean of its divisors is an integer number (1694900592).

Almost surely, 2100376509920 is an apocalyptic number.

100376509920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100376509920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162710456832).

100376509920 is an abundant number, since it is smaller than the sum of its proper divisors (225044403744).

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

100376509920 is a wasteful number, since it uses less digits than its factorization.

100376509920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28345 (or 28337 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 42.

The spelling of 100376509920 in words is "one hundred billion, three hundred seventy-six million, five hundred nine thousand, nine hundred twenty".