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113500210455104 = 2611238937677469
BaseRepresentation
bin11001110011101001010011…
…101110011110001001000000
3112212212111212211000222221012
4121303221103232132021000
5104334041412334030404
61041221135445220052
732623056010504124
oct3163512356361100
9485774784028835
10113500210455104
113318a194948400
1210891126a01628
134b44040727175
142005621da1584
15d1c6032aba6e
hex673a53b9e240

113500210455104 has 84 divisors (see below), whose sum is σ = 248199956850300. Its totient is φ = 51458378695680.

The previous prime is 113500210455101. The next prime is 113500210455119. The reversal of 113500210455104 is 401554012005311.

It can be written as a sum of positive squares in 2 ways, for example, as 64875807920704 + 48624402534400 = 8054552^2 + 6973120^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (113500210455101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15826319 + ... + 21851150.

It is an arithmetic number, because the mean of its divisors is an integer number (2954761391075).

Almost surely, 2113500210455104 is an apocalyptic number.

It is an amenable number.

113500210455104 is an abundant number, since it is smaller than the sum of its proper divisors (134699746395196).

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

113500210455104 is a wasteful number, since it uses less digits than its factorization.

113500210455104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37677892 (or 37677871 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 32.

The spelling of 113500210455104 in words is "one hundred thirteen trillion, five hundred billion, two hundred ten million, four hundred fifty-five thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 352 389 484 704 778 968 1556 1936 3112 3872 4279 6224 7744 8558 12448 17116 24896 34232 47069 68464 94138 136928 188276 273856 376552 753104 1506208 3012416 37677469 75354938 150709876 301419752 414452159 602839504 828904318 1205679008 1657808636 2411358016 3315617272 4558973749 6631234544 9117947498 13262469088 14656535441 18235894996 26524938176 29313070882 36471789992 58626141764 72943579984 117252283528 145887159968 161221889851 234504567056 291774319936 322443779702 469009134112 644887559404 938018268224 1289775118808 1773440788361 2579550237616 3546881576722 5159100475232 7093763153444 10318200950464 14187526306888 28375052613776 56750105227552 113500210455104