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113713041024 = 2734111997541
BaseRepresentation
bin110100111100111010…
…0110100111010000000
3101212111212011000010000
41221321310310322000
53330341014303044
6124123345040000
711133625620642
oct1517164647200
9355455130100
10113713041024
1144253057860
121a056326000
13a9528385bb
14570a39a892
152e58087d69
hex1a79d34e80

113713041024 has 640 divisors, whose sum is σ = 393334603200. Its totient is φ = 32248627200.

The previous prime is 113713040999. The next prime is 113713041031. The reversal of 113713041024 is 420140317311.

113713041024 is a `hidden beast` number, since 113 + 7 + 130 + 410 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 210190194 + ... + 210190734.

Almost surely, 2113713041024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113713041024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196667301600).

113713041024 is an abundant number, since it is smaller than the sum of its proper divisors (279621562176).

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

113713041024 is a wasteful number, since it uses less digits than its factorization.

113713041024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

Adding to 113713041024 its reverse (420140317311), we get a palindrome (533853358335).

The spelling of 113713041024 in words is "one hundred thirteen billion, seven hundred thirteen million, forty-one thousand, twenty-four".