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113046870240 = 2533567715501
BaseRepresentation
bin110100101001000011…
…1100101100011100000
3101210210102122000121000
41221102013211203200
53323004444321430
6123533310432000
711111256354033
oct1512207454340
9353712560530
10113046870240
1143a41013897
1219aab202600
13a8778120c5
145685b0b01a
152e19848e60
hex1a521e58e0

113046870240 has 384 divisors, whose sum is σ = 407299415040. Its totient is φ = 29272320000.

The previous prime is 113046870227. The next prime is 113046870271. The reversal of 113046870240 is 42078640311.

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

It is a junction number, because it is equal to n+sod(n) for n = 113046870195 and 113046870204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20547490 + ... + 20552990.

It is an arithmetic number, because the mean of its divisors is an integer number (1060675560).

Almost surely, 2113046870240 is an apocalyptic number.

113046870240 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 113046870240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203649707520).

113046870240 is an abundant number, since it is smaller than the sum of its proper divisors (294252544800).

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

113046870240 is a wasteful number, since it uses less digits than its factorization.

113046870240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5663 (or 5649 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 113046870240 in words is "one hundred thirteen billion, forty-six million, eight hundred seventy thousand, two hundred forty".