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103204602072 = 2332111331794093
BaseRepresentation
bin110000000011101111…
…0010100000011011000
3100212101111122222212100
41200013132110003120
53142330334231242
6115224520443400
710312335433455
oct1400736240330
9325344588770
10103204602072
113a850342070
1218003019560
1399696ccba0
144dd08c682c
152a4074654c
hex18077940d8

103204602072 has 384 divisors, whose sum is σ = 343345766400. Its totient is φ = 27576806400.

The previous prime is 103204602047. The next prime is 103204602143. The reversal of 103204602072 is 270206402301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25212858 + ... + 25216950.

It is an arithmetic number, because the mean of its divisors is an integer number (894129600).

Almost surely, 2103204602072 is an apocalyptic number.

103204602072 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 103204602072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171672883200).

103204602072 is an abundant number, since it is smaller than the sum of its proper divisors (240141164328).

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

103204602072 is a wasteful number, since it uses less digits than its factorization.

103204602072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4239 (or 4232 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 103204602072 in words is "one hundred three billion, two hundred four million, six hundred two thousand, seventy-two".