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113818302 = 232134779131
BaseRepresentation
bin1101100100010…
…11101010111110
321221011120100200
412302023222332
5213114141202
615143304330
72551303533
oct662135276
9257146320
10113818302
115927a414
123214b0a6
131a771310
141118ad8a
159ed3e1c
hex6c8babe

113818302 has 96 divisors (see below), whose sum is σ = 276756480. Its totient is φ = 33583680.

The previous prime is 113818297. The next prime is 113818307. The reversal of 113818302 is 203818311.

It is an interprime number because it is at equal distance from previous prime (113818297) and next prime (113818307).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113818307) 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, 868777 + ... + 868907.

It is an arithmetic number, because the mean of its divisors is an integer number (2882880).

Almost surely, 2113818302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113818302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138378240).

113818302 is an abundant number, since it is smaller than the sum of its proper divisors (162938178).

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

113818302 is a wasteful number, since it uses less digits than its factorization.

113818302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 113818302 is about 10668.5660704708. The cubic root of 113818302 is about 484.6230138109.

Subtracting 113818302 from its reverse (203818311), we obtain a palindrome (90000009).

It can be divided in two parts, 11381 and 8302, that added together give a 9-th power (19683 = 39).

The spelling of 113818302 in words is "one hundred thirteen million, eight hundred eighteen thousand, three hundred two".

Divisors: 1 2 3 6 9 13 18 26 39 47 78 79 94 117 131 141 158 234 237 262 282 393 423 474 611 711 786 846 1027 1179 1222 1422 1703 1833 2054 2358 3081 3406 3666 3713 5109 5499 6157 6162 7426 9243 10218 10349 10998 11139 12314 15327 18471 18486 20698 22278 30654 31047 33417 36942 48269 55413 62094 66834 80041 93141 96538 110826 134537 144807 160082 186282 240123 269074 289614 403611 434421 480246 486403 720369 807222 868842 972806 1210833 1440738 1459209 2421666 2918418 4377627 6323239 8755254 12646478 18969717 37939434 56909151 113818302