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113701294080 = 212355113167
BaseRepresentation
bin110100111100100100…
…0000001000000000000
3101212111001001012100000
41221321020001000000
53330330012402310
6124122245200000
711133424024203
oct1517110010000
9355431035300
10113701294080
1144247464140
121a052400000
13a95028484a
1457089bd93a
152e570174c0
hex1a79201000

113701294080 has 1248 divisors, whose sum is σ = 467121328128. Its totient is φ = 26276659200.

The previous prime is 113701294051. The next prime is 113701294081. The reversal of 113701294080 is 80492107311.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (113701294081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1697034207 + ... + 1697034273.

It is an arithmetic number, because the mean of its divisors is an integer number (374295936).

Almost surely, 2113701294080 is an apocalyptic number.

113701294080 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 113701294080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233560664064).

113701294080 is an abundant number, since it is smaller than the sum of its proper divisors (353420034048).

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

113701294080 is an equidigital number, since it uses as much as digits as its factorization.

113701294080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 113701294080 in words is "one hundred thirteen billion, seven hundred one million, two hundred ninety-four thousand, eighty".