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113608051200 = 2933527151311
BaseRepresentation
bin110100111001110010…
…0010100101000000000
3101212020112120222011000
41221303210110220000
53330132130114300
6124105114452000
711131212334110
oct1516344245000
9355215528130
10113608051200
11441a9868406
121a027134000
13a936b68847
1456da46b040
152e4dc49c00
hex1a73914a00

113608051200 has 960 divisors, whose sum is σ = 481266339840. Its totient is φ = 25712640000.

The previous prime is 113608051127. The next prime is 113608051211. The reversal of 113608051200 is 2150806311.

113608051200 is a `hidden beast` number, since 1 + 1 + 3 + 608 + 0 + 51 + 2 + 0 + 0 = 666.

113608051200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-3 number, since 3×1136080512003 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 365299045 + ... + 365299355.

It is an arithmetic number, because the mean of its divisors is an integer number (501319104).

Almost surely, 2113608051200 is an apocalyptic number.

113608051200 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 113608051200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240633169920).

113608051200 is an abundant number, since it is smaller than the sum of its proper divisors (367658288640).

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

113608051200 is a wasteful number, since it uses less digits than its factorization.

113608051200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 113608051200 its reverse (2150806311), we get a palindrome (115758857511).

The spelling of 113608051200 in words is "one hundred thirteen billion, six hundred eight million, fifty-one thousand, two hundred".