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113204120224 = 25131077973191
BaseRepresentation
bin110100101101101111…
…1011100101010100000
3101211012101112011000111
41221123133130222200
53323320223321344
6124001045101104
711115206100556
oct1513337345240
9354171464014
10113204120224
1144011858058
1219b339b7794
13a8a127bc30
14569c961bd6
152e2855b834
hex1a5b7dcaa0

113204120224 has 96 divisors (see below), whose sum is σ = 242637607296. Its totient is φ = 51678612480.

The previous prime is 113204120177. The next prime is 113204120243. The reversal of 113204120224 is 422021402311.

It is a junction number, because it is equal to n+sod(n) for n = 113204120195 and 113204120204.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35474469 + ... + 35477659.

It is an arithmetic number, because the mean of its divisors is an integer number (2527475076).

Almost surely, 2113204120224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113204120224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121318803648).

113204120224 is an abundant number, since it is smaller than the sum of its proper divisors (129433487072).

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

113204120224 is a wasteful number, since it uses less digits than its factorization.

113204120224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4118 (or 4110 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 113204120224 its reverse (422021402311), we get a palindrome (535225522535).

The spelling of 113204120224 in words is "one hundred thirteen billion, two hundred four million, one hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 107 208 214 416 428 797 856 1391 1594 1712 2782 3188 3191 3424 5564 6376 6382 10361 11128 12752 12764 20722 22256 25504 25528 41444 41483 44512 51056 82888 82966 85279 102112 165776 165932 170558 331552 331864 341116 341437 663728 682232 682874 1108627 1327456 1364464 1365748 2217254 2543227 2728928 2731496 4434508 4438681 5086454 5462992 8869016 8877362 10172908 10925984 17738032 17754724 20345816 33061951 35476064 35509448 40691632 66123902 71018896 81383264 132247804 142037792 264495608 272125289 528991216 544250578 1057982432 1088501156 2177002312 3537628757 4354004624 7075257514 8708009248 14150515028 28301030056 56602060112 113204120224