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103880351232 = 293472173197
BaseRepresentation
bin110000010111111000…
…0000101111000000000
3100221010121012121110000
41200233300011320000
53200221332214412
6115415540240000
710335152262600
oct1405760057000
9327117177400
10103880351232
1140067828449
12181713a0000
139a466cb068
14505654ac00
152a7ec284dc
hex182fc05e00

103880351232 has 1200 divisors, whose sum is σ = 398276258688. Its totient is φ = 26754416640.

The previous prime is 103880351213. The next prime is 103880351261. The reversal of 103880351232 is 232153088301.

It is a happy number.

103880351232 is a `hidden beast` number, since 1 + 0 + 38 + 80 + 3 + 512 + 32 = 666.

It is a super-2 number, since 2×1038803512322 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1070931408 + ... + 1070931504.

Almost surely, 2103880351232 is an apocalyptic number.

103880351232 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 103880351232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199138129344).

103880351232 is an abundant number, since it is smaller than the sum of its proper divisors (294395907456).

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

103880351232 is an equidigital number, since it uses as much as digits as its factorization.

103880351232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 103880351232 in words is "one hundred three billion, eight hundred eighty million, three hundred fifty-one thousand, two hundred thirty-two".