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113430562855200 = 253452234359131229
BaseRepresentation
bin11001110010101000011100…
…011001111101100100100000
3112212121212002221210100010000
4121302220130121331210200
5104331421243042331300
61041125140423340000
732615042042616033
oct3162503431754440
9485555087710100
10113430562855200
11331626a466a788
121087b729bb1600
134b3a5c12c62a6
1420020d60bd01a
15d1a8c8aaac00
hex672a1c67d920

113430562855200 has 2880 divisors, whose sum is σ = 454573955404800. Its totient is φ = 27448707686400.

The previous prime is 113430562855153. The next prime is 113430562855201. The reversal of 113430562855200 is 2558265034311.

It is a happy number.

113430562855200 is a `hidden beast` number, since 1 + 1 + 3 + 4 + 3 + 0 + 562 + 85 + 5 + 2 + 0 + 0 = 666.

113430562855200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (113430562855201) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 495329968686 + ... + 495329968914.

It is an arithmetic number, because the mean of its divisors is an integer number (157838178960).

Almost surely, 2113430562855200 is an apocalyptic number.

113430562855200 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 113430562855200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227286977702400).

113430562855200 is an abundant number, since it is smaller than the sum of its proper divisors (341143392549600).

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

113430562855200 is a wasteful number, since it uses less digits than its factorization.

113430562855200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 113430562855200 in words is "one hundred thirteen trillion, four hundred thirty billion, five hundred sixty-two million, eight hundred fifty-five thousand, two hundred".