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113312130120 = 23335717238699
BaseRepresentation
bin110100110000111101…
…1011110010001001000
3101211110220202121202000
41221201323132101020
53324030401130440
6124015504111000
711120660133330
oct1514173362110
9354426677660
10113312130120
114406781a532
1219b64005460
13a8ba768507
1456ad03a0c0
152e32c94730
hex1a61ede448

113312130120 has 256 divisors, whose sum is σ = 431965440000. Its totient is φ = 25881907968.

The previous prime is 113312130101. The next prime is 113312130167. The reversal of 113312130120 is 21031213311.

113312130120 is a `hidden beast` number, since 1 + 1 + 331 + 213 + 0 + 120 = 666.

113312130120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1133121301202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 113312130093 and 113312130102.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13021531 + ... + 13030229.

It is an arithmetic number, because the mean of its divisors is an integer number (1687365000).

Almost surely, 2113312130120 is an apocalyptic number.

113312130120 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 113312130120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215982720000).

113312130120 is an abundant number, since it is smaller than the sum of its proper divisors (318653309880).

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

113312130120 is a wasteful number, since it uses less digits than its factorization.

113312130120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10449 (or 10439 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 113312130120 its reverse (21031213311), we get a palindrome (134343343431).

The spelling of 113312130120 in words is "one hundred thirteen billion, three hundred twelve million, one hundred thirty thousand, one hundred twenty".