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100700874912 = 2531119313903
BaseRepresentation
bin101110111001000111…
…1010110100010100000
3100121221000110110212210
41131302033112202200
53122213410444122
6114132241122120
710163314212411
oct1356217264240
9317830413783
10100700874912
1139786022870
1217624629340
13965aa97121
144c34185808
152945a3140c
hex17723d68a0

100700874912 has 192 divisors, whose sum is σ = 304410839040. Its totient is φ = 28907262720.

The previous prime is 100700874887. The next prime is 100700874983. The reversal of 100700874912 is 219478007001.

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, 7236153 + ... + 7250055.

It is an arithmetic number, because the mean of its divisors is an integer number (1585473120).

Almost surely, 2100700874912 is an apocalyptic number.

100700874912 is a gapful number since it is divisible by the number (12) 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 100700874912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152205419520).

100700874912 is an abundant number, since it is smaller than the sum of its proper divisors (203709964128).

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

100700874912 is a wasteful number, since it uses less digits than its factorization.

100700874912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13984 (or 13938 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 39.

The spelling of 100700874912 in words is "one hundred billion, seven hundred million, eight hundred seventy-four thousand, nine hundred twelve".