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113104001241234 = 232172319998039257
BaseRepresentation
bin11001101101111000010011…
…110100010001000010010010
3112211110122012022111111220200
4121231320103310101002102
5104311043443304204414
61040315132202520030
732552331405655533
oct3155702364210222
9484418168444820
10113104001241234
11330471570a3803
1210828391206016
134b1587a578453
141dd039745268a
15d121645ae109
hex66de13d11092

113104001241234 has 96 divisors (see below), whose sum is σ = 270890837568000. Its totient is φ = 33923859526656.

The previous prime is 113104001241169. The next prime is 113104001241239. The reversal of 113104001241234 is 432142100401311.

It is a happy number.

113104001241234 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 0 + 400 + 1 + 24 + 1 + 234 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 113104001241198 and 113104001241207.

It is not an unprimeable number, because it can be changed into a prime (113104001241239) 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, 10049334 + ... + 18088590.

It is an arithmetic number, because the mean of its divisors is an integer number (2821779558000).

Almost surely, 2113104001241234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113104001241234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135445418784000).

113104001241234 is an abundant number, since it is smaller than the sum of its proper divisors (157786836326766).

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

113104001241234 is a wasteful number, since it uses less digits than its factorization.

113104001241234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8041304 (or 8041301 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 113104001241234 its reverse (432142100401311), we get a palindrome (545246101642545).

The spelling of 113104001241234 in words is "one hundred thirteen trillion, one hundred four billion, one million, two hundred forty-one thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 23 34 46 51 69 102 138 153 207 306 391 414 782 1173 1999 2346 3519 3998 5997 7038 11994 17991 33983 35982 45977 67966 91954 101949 137931 203898 275862 305847 413793 611694 781609 827586 1563218 2344827 4689654 7034481 8039257 14068962 16078514 24117771 48235542 72353313 136667369 144706626 184902911 273334738 369805822 410002107 554708733 820004214 1109417466 1230006321 1664126199 2460012642 3143349487 3328252398 6286698974 9430048461 16070474743 18860096922 28290145383 32140949486 48211424229 56580290766 96422848458 144634272687 273198070631 289268545374 369620919089 546396141262 739241838178 819594211893 1108862757267 1639188423786 2217725514534 2458782635679 3326588271801 4917565271358 6283555624513 6653176543602 12567111249026 18850666873539 37701333747078 56552000620617 113104001241234