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113007491160 = 233517292199331
BaseRepresentation
bin110100100111111000…
…1010111100001011000
3101210200200112100122120
41221033301113201120
53322414404204120
6123525342421240
711110300553154
oct1511761274130
9353620470576
10113007491160
1143a208677a3
1219a99b91820
13a86c605085
1456807ba064
152e1616b140
hex1a4fc57858

113007491160 has 384 divisors, whose sum is σ = 374766912000. Its totient is φ = 27164712960.

The previous prime is 113007491159. The next prime is 113007491161. The reversal of 113007491160 is 61194700311.

It is an interprime number because it is at equal distance from previous prime (113007491159) and next prime (113007491161).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113007491161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 341412195 + ... + 341412525.

It is an arithmetic number, because the mean of its divisors is an integer number (975955500).

Almost surely, 2113007491160 is an apocalyptic number.

113007491160 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 113007491160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187383456000).

113007491160 is an abundant number, since it is smaller than the sum of its proper divisors (261759420840).

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

113007491160 is a wasteful number, since it uses less digits than its factorization.

113007491160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 33.

The spelling of 113007491160 in words is "one hundred thirteen billion, seven million, four hundred ninety-one thousand, one hundred sixty".