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113100768000 = 28325311191879
BaseRepresentation
bin110100101010101010…
…1001100001100000000
3101210221012001022102100
41221111111030030000
53323112244034000
6123542513550400
711112512444253
oct1512525141400
9353835038370
10113100768000
1143a69486aa0
1219b05275400
13a885a3367c
14568cd3b09a
152e1e443a00
hex1a5554c300

113100768000 has 864 divisors, whose sum is σ = 467582169600. Its totient is φ = 25961472000.

The previous prime is 113100767977. The next prime is 113100768037. The reversal of 113100768000 is 867001311.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 60191061 + ... + 60192939.

Almost surely, 2113100768000 is an apocalyptic number.

113100768000 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 113100768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233791084800).

113100768000 is an abundant number, since it is smaller than the sum of its proper divisors (354481401600).

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

113100768000 is a wasteful number, since it uses less digits than its factorization.

113100768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1946 (or 1919 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

Adding to 113100768000 its reverse (867001311), we get a palindrome (113967769311).

The spelling of 113100768000 in words is "one hundred thirteen billion, one hundred million, seven hundred sixty-eight thousand".