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113661226434 = 2373617091277
BaseRepresentation
bin110100111011010111…
…1001010110111000010
3101212101020122112212010
41221312233022313002
53330234233221214
6124114254313350
711132426325000
oct1516657126702
9355336575763
10113661226434
1144226887788
121a040ab8856
13a944b96292
14570354da70
152e53750659
hex1a76bcadc2

113661226434 has 128 divisors (see below), whose sum is σ = 270036288000. Its totient is φ = 31872234240.

The previous prime is 113661226433. The next prime is 113661226439. The reversal of 113661226434 is 434622166311.

It is a junction number, because it is equal to n+sod(n) for n = 113661226392 and 113661226401.

It is not an unprimeable number, because it can be changed into a prime (113661226433) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 89005804 + ... + 89007080.

It is an arithmetic number, because the mean of its divisors is an integer number (2109658500).

Almost surely, 2113661226434 is an apocalyptic number.

113661226434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 113661226434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135018144000).

113661226434 is an abundant number, since it is smaller than the sum of its proper divisors (156375061566).

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

113661226434 is a wasteful number, since it uses less digits than its factorization.

113661226434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2073 (or 2059 counting only the distinct ones).

The product of its digits is 124416, while the sum is 39.

The spelling of 113661226434 in words is "one hundred thirteen billion, six hundred sixty-one million, two hundred twenty-six thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 49 61 98 122 147 183 294 343 366 427 686 709 854 1029 1277 1281 1418 2058 2127 2554 2562 2989 3831 4254 4963 5978 7662 8939 8967 9926 14889 17878 17934 20923 26817 29778 34741 41846 43249 53634 62573 62769 69482 77897 86498 104223 125146 125538 129747 155794 187719 208446 233691 243187 259494 302743 375438 438011 467382 486374 545279 605486 729561 876022 905393 908229 1090558 1314033 1459122 1635837 1810786 1816458 2119201 2628066 2716179 3271674 3816953 4238402 5432358 6337751 6357603 7633906 11450859 12675502 12715206 14834407 19013253 22901718 26718671 29668814 38026506 44364257 44503221 53437342 55228973 80156013 88728514 89006442 110457946 133092771 160312026 165686919 266185542 310549799 331373838 386602811 621099598 773205622 931649397 1159808433 1863298794 2319616866 2706219677 5412439354 8118659031 16237318062 18943537739 37887075478 56830613217 113661226434