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113322135186 = 23413294913779
BaseRepresentation
bin110100110001010000…
…1101000111010010010
3101211111121120221010000
41221202201220322102
53324040431311221
6124020502350430
711121141153531
oct1514241507222
9354447527100
10113322135186
1144072433487
1219b6742b416
13a8bc85c480
1456b04c2318
152e33abde26
hex1a62868e92

113322135186 has 160 divisors (see below), whose sum is σ = 283539009600. Its totient is φ = 33588535680.

The previous prime is 113322135169. The next prime is 113322135191. The reversal of 113322135186 is 681531223311.

113322135186 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 221 + 351 + 86 = 666.

It is a super-2 number, since 2×1133221351862 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 113322135186.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 29985445 + ... + 29989223.

It is an arithmetic number, because the mean of its divisors is an integer number (1772118810).

Almost surely, 2113322135186 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113322135186, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141769504800).

113322135186 is an abundant number, since it is smaller than the sum of its proper divisors (170216874414).

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

113322135186 is a wasteful number, since it uses less digits than its factorization.

113322135186 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4326 (or 4317 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

Adding to 113322135186 its reverse (681531223311), we get a palindrome (794853358497).

The spelling of 113322135186 in words is "one hundred thirteen billion, three hundred twenty-two million, one hundred thirty-five thousand, one hundred eighty-six".

Divisors: 1 2 3 6 9 13 18 26 27 29 39 54 58 78 81 87 117 162 174 234 261 351 377 491 522 702 754 783 982 1053 1131 1473 1566 2106 2262 2349 2946 3393 3779 4419 4698 6383 6786 7558 8838 10179 11337 12766 13257 14239 19149 20358 22674 26514 28478 30537 34011 38298 39771 42717 49127 57447 61074 68022 79542 85434 98254 102033 109591 114894 128151 147381 172341 185107 204066 219182 256302 294762 306099 328773 344682 370214 384453 442143 517023 555321 612198 657546 768906 884286 986319 1034046 1110642 1153359 1326429 1424683 1665963 1855489 1972638 2306718 2652858 2849366 2958957 3331926 3710978 3979287 4274049 4997889 5566467 5917914 7958574 8548098 8876871 9995778 11132934 12822147 14993667 16699401 17753742 24121357 25644294 29987334 33398802 38466441 48242714 50098203 53809181 72364071 76932882 100196406 107618362 115399323 144728142 150294609 161427543 217092213 230798646 300589218 322855086 434184426 484282629 651276639 699519353 968565258 1302553278 1399038706 1452847887 1953829917 2098558059 2905695774 3907659834 4197116118 4358543661 6295674177 8717087322 12591348354 18887022531 37774045062 56661067593 113322135186