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113857228800 = 212345273753
BaseRepresentation
bin110101000001001101…
…0110111000000000000
3101212212220110111120000
41222002122313000000
53331134422310200
6124145535320000
711140326322320
oct1520232670000
9355786414500
10113857228800
114431748a207
121a096680000
13a976680b03
1457215b1280
152e65a6a300
hex1a826b7000

113857228800 has 1560 divisors, whose sum is σ = 504372423456. Its totient is φ = 24843386880.

The previous prime is 113857228789. The next prime is 113857228843. The reversal of 113857228800 is 8822758311.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 119 ways as a sum of consecutive naturals, for example, 2148249574 + ... + 2148249626.

Almost surely, 2113857228800 is an apocalyptic number.

113857228800 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 113857228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252186211728).

113857228800 is an abundant number, since it is smaller than the sum of its proper divisors (390515194656).

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

113857228800 is an equidigital number, since it uses as much as digits as its factorization.

113857228800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 113857228800 in words is "one hundred thirteen billion, eight hundred fifty-seven million, two hundred twenty-eight thousand, eight hundred".