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113804190720 = 210325111747281
BaseRepresentation
bin110100111111101000…
…0100010010000000000
3101212202012122212222200
41221333100202100000
53331032333100340
6124140402433200
711136113442333
oct1517720422000
9355665585880
10113804190720
114429a553990
121a080962800
13a9686a092c
14571852661a
152e61090330
hex1a7f422400

113804190720 has 1056 divisors, whose sum is σ = 466827618816. Its totient is φ = 25323110400.

The previous prime is 113804190713. The next prime is 113804190727. The reversal of 113804190720 is 27091408311.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (113804190713) and next prime (113804190727).

It is a tau number, because it is divible by the number of its divisors (1056).

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 (113804190727) 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, 404996980 + ... + 404997260.

Almost surely, 2113804190720 is an apocalyptic number.

113804190720 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 113804190720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233413809408).

113804190720 is an abundant number, since it is smaller than the sum of its proper divisors (353023428096).

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

113804190720 is a wasteful number, since it uses less digits than its factorization.

113804190720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 366 counting only the distinct ones).

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

The spelling of 113804190720 in words is "one hundred thirteen billion, eight hundred four million, one hundred ninety thousand, seven hundred twenty".