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113707722240 = 293457219231
BaseRepresentation
bin110100111100110000…
…0100010011000000000
3101212111111010210010000
41221321200202120000
53330333134102430
6124123035040000
711133532456200
oct1517140423000
9355444123100
10113707722240
1144250054772
121a0545a0000
13a9516c56a8
1457097b4400
152e57886e60
hex1a79822600

113707722240 has 1800 divisors, whose sum is σ = 516133518912. Its totient is φ = 23828152320.

The previous prime is 113707722229. The next prime is 113707722257. The reversal of 113707722240 is 42227707311.

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 = 113707722195 and 113707722204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 3667991025 + ... + 3667991055.

Almost surely, 2113707722240 is an apocalyptic number.

113707722240 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 113707722240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258066759456).

113707722240 is an abundant number, since it is smaller than the sum of its proper divisors (402425796672).

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

113707722240 is an equidigital number, since it uses as much as digits as its factorization.

113707722240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The spelling of 113707722240 in words is "one hundred thirteen billion, seven hundred seven million, seven hundred twenty-two thousand, two hundred forty".