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100931012 = 22713416763
BaseRepresentation
bin1100000010000…
…01010111000100
321000220211022122
412001001113010
5201314243022
614003145112
72333620340
oct601012704
9230824278
10100931012
1151a77a66
1229975198
1317bab4c0
14d594620
158cda742
hex60415c4

100931012 has 48 divisors (see below), whose sum is σ = 222724992. Its totient is φ = 38949120.

The previous prime is 100930997. The next prime is 100931029. The reversal of 100931012 is 210139001.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11543 + ... + 18305.

It is an arithmetic number, because the mean of its divisors is an integer number (4640104).

Almost surely, 2100931012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100931012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111362496).

100931012 is an abundant number, since it is smaller than the sum of its proper divisors (121793980).

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

100931012 is a wasteful number, since it uses less digits than its factorization.

100931012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6828 (or 6826 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 17.

The square root of 100931012 is about 10046.4427535322. The cubic root of 100931012 is about 465.5948943615.

The spelling of 100931012 in words is "one hundred million, nine hundred thirty-one thousand, twelve".

Divisors: 1 2 4 7 13 14 26 28 41 52 82 91 164 182 287 364 533 574 1066 1148 2132 3731 6763 7462 13526 14924 27052 47341 87919 94682 175838 189364 277283 351676 554566 615433 1109132 1230866 1940981 2461732 3604679 3881962 7209358 7763924 14418716 25232753 50465506 100931012