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103187939328 = 216321741251
BaseRepresentation
bin110000000011001111…
…0110000000000000000
3100212100100022102212200
41200012132300000000
53142312103024303
6115223123353200
710312044004155
oct1400636600000
9325310272780
10103187939328
113a8419a1101
1217bb9522800
139966117786
144dcc5ca22c
152a3e0543a3
hex18067b0000

103187939328 has 408 divisors, whose sum is σ = 324617778576. Its totient is φ = 31457280000.

The previous prime is 103187939291. The next prime is 103187939339. The reversal of 103187939328 is 823939781301.

103187939328 is a `hidden beast` number, since 103 + 187 + 9 + 39 + 328 = 666.

It is a tau number, because it is divible by the number of its divisors (408).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 411107203 + ... + 411107453.

Almost surely, 2103187939328 is an apocalyptic number.

103187939328 is a gapful number since it is divisible by the number (18) 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 103187939328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162308889288).

103187939328 is an abundant number, since it is smaller than the sum of its proper divisors (221429839248).

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

103187939328 is an equidigital number, since it uses as much as digits as its factorization.

103187939328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 103187939328 in words is "one hundred three billion, one hundred eighty-seven million, nine hundred thirty-nine thousand, three hundred twenty-eight".