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113712269400 = 233252591278431
BaseRepresentation
bin110100111100111000…
…1111000100001011000
3101212111210200210122100
41221321301320201120
53330340320110100
6124123320323400
711133616225212
oct1517161704130
9355453623570
10113712269400
1144252680054
121a056013560
13a952628312
14570a2395b2
152e57e84400
hex1a79c78858

113712269400 has 288 divisors, whose sum is σ = 391460659200. Its totient is φ = 29571091200.

The previous prime is 113712269387. The next prime is 113712269479. The reversal of 113712269400 is 4962217311.

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 71 ways as a sum of consecutive naturals, for example, 13483185 + ... + 13491615.

It is an arithmetic number, because the mean of its divisors is an integer number (1359238400).

Almost surely, 2113712269400 is an apocalyptic number.

113712269400 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 113712269400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195730329600).

113712269400 is an abundant number, since it is smaller than the sum of its proper divisors (277748389800).

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

113712269400 is a wasteful number, since it uses less digits than its factorization.

113712269400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8639 (or 8627 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 113712269400 in words is "one hundred thirteen billion, seven hundred twelve million, two hundred sixty-nine thousand, four hundred".