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103790304000 = 2832531722943
BaseRepresentation
bin110000010101001100…
…0100101101100000000
3100220220022202201212100
41200222120211230000
53200030304212000
6115403002230400
710333010012325
oct1405230455400
9326808681770
10103790304000
1140020a14649
12181471b5400
139a30b60786
1450485cab4c
152a76d8ca00
hex182a625b00

103790304000 has 1296 divisors, whose sum is σ = 419953453920. Its totient is φ = 24566169600.

The previous prime is 103790303977. The next prime is 103790304031. The reversal of 103790304000 is 403097301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2413727979 + ... + 2413728021.

Almost surely, 2103790304000 is an apocalyptic number.

103790304000 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 103790304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209976726960).

103790304000 is an abundant number, since it is smaller than the sum of its proper divisors (316163149920).

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

103790304000 is a wasteful number, since it uses less digits than its factorization.

103790304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The spelling of 103790304000 in words is "one hundred three billion, seven hundred ninety million, three hundred four thousand".