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113345524314 = 233111019072083
BaseRepresentation
bin110100110001111101…
…0110111001001011010
3101211120020121012222000
41221203322313021122
53324112423234224
6124023055541430
711121544026441
oct1514372671132
9354506535860
10113345524314
1144084659040
1219b7322a876
13a8c465b3a9
1456b364dd58
152e35b8e0c9
hex1a63eb725a

113345524314 has 128 divisors (see below), whose sum is σ = 277936911360. Its totient is φ = 33953256000.

The previous prime is 113345524307. The next prime is 113345524321. The reversal of 113345524314 is 413425543311.

113345524314 is a `hidden beast` number, since 1 + 1 + 334 + 5 + 5 + 2 + 4 + 314 = 666.

113345524314 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (113345524307) and next prime (113345524321).

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, 54413517 + ... + 54415599.

It is an arithmetic number, because the mean of its divisors is an integer number (2171382120).

Almost surely, 2113345524314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113345524314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138968455680).

113345524314 is an abundant number, since it is smaller than the sum of its proper divisors (164591387046).

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

113345524314 is a wasteful number, since it uses less digits than its factorization.

113345524314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3113 (or 3107 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The spelling of 113345524314 in words is "one hundred thirteen billion, three hundred forty-five million, five hundred twenty-four thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 101 198 202 297 303 594 606 907 909 1111 1814 1818 2083 2222 2721 2727 3333 4166 5442 5454 6249 6666 8163 9977 9999 12498 16326 18747 19954 19998 22913 24489 29931 29997 37494 45826 48978 56241 59862 59994 68739 89793 91607 112482 137478 179586 183214 206217 210383 269379 274821 412434 420766 538758 549642 618651 631149 824463 1007677 1237302 1262298 1648926 1889281 1893447 2015354 2314213 2473389 3023031 3778562 3786894 4628426 4946778 5667843 5680341 6046062 6942639 9069093 11335686 11360682 13885278 17003529 18138186 20782091 20827917 27207279 34007058 41564182 41655834 51010587 54414558 62346273 62483751 102021174 124692546 124967502 187038819 190817381 374077638 381634762 561116457 572452143 1122232914 1144904286 1717356429 2098991191 3434712858 4197982382 5152069287 6296973573 10304138574 12593947146 18890920719 37781841438 56672762157 113345524314