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113323122 = 2321117131257
BaseRepresentation
bin1101100000100…
…10110001110010
321220020102002200
412300102301302
5213002314442
615124524030
72544142053
oct660226162
9256212080
10113323122
1158a71380
1231b50616
131a629b03
141109c72a
159e3734c
hex6c12c72

113323122 has 96 divisors (see below), whose sum is σ = 286887744. Its totient is φ = 31948800.

The previous prime is 113323121. The next prime is 113323127. The reversal of 113323122 is 221323311.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 113323095 and 113323104.

It is not an unprimeable number, because it can be changed into a prime (113323121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 440818 + ... + 441074.

It is an arithmetic number, because the mean of its divisors is an integer number (2988414).

Almost surely, 2113323122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113323122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143443872).

113323122 is an abundant number, since it is smaller than the sum of its proper divisors (173564622).

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

113323122 is a wasteful number, since it uses less digits than its factorization.

113323122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 421 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 113323122 is about 10645.3333437709. Note that the first 4 decimals coincide. The cubic root of 113323122 is about 483.9191888622.

Adding to 113323122 its reverse (221323311), we get a palindrome (334646433).

The spelling of 113323122 in words is "one hundred thirteen million, three hundred twenty-three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 131 153 187 198 257 262 306 374 393 514 561 771 786 1122 1179 1441 1542 1683 2227 2313 2358 2827 2882 3366 4323 4369 4454 4626 5654 6681 8481 8646 8738 12969 13107 13362 16962 20043 24497 25443 25938 26214 33667 39321 40086 48059 48994 50886 67334 73491 78642 96118 101001 144177 146982 202002 220473 288354 303003 370337 432531 440946 572339 606006 740674 865062 1111011 1144678 1717017 2222022 3333033 3434034 5151051 6295729 6666066 10302102 12591458 18887187 37774374 56661561 113323122