Search a number
-
+
113312302112133 = 3347213725753959
BaseRepresentation
bin11001110000111010010011…
…100001000001110110000101
3112212012112212011100010121000
4121300322103201001312011
5104323002043320042013
61040554541501243513
732603354323110405
oct3160722341016605
9485175764303530
10113312302112133
1133117528551093
1210860824863599
134b2c3c5551a47
141dda4b7b5a805
15d177a6660973
hex670e93841d85

113312302112133 has 96 divisors (see below), whose sum is σ = 173445199315200. Its totient is φ = 73107664846848.

The previous prime is 113312302112129. The next prime is 113312302112167. The reversal of 113312302112133 is 331211203213311.

113312302112133 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 1 + 230 + 211 + 213 + 3 = 666.

It is not a de Polignac number, because 113312302112133 - 22 = 113312302112129 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 113312302112097 and 113312302112106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113312302512133) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2099943408 + ... + 2099997366.

It is an arithmetic number, because the mean of its divisors is an integer number (1806720826200).

Almost surely, 2113312302112133 is an apocalyptic number.

It is an amenable number.

113312302112133 is a deficient number, since it is larger than the sum of its proper divisors (60132897203067).

113312302112133 is a wasteful number, since it uses less digits than its factorization.

113312302112133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54456 (or 54403 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 113312302112133 its reverse (331211203213311), we get a palindrome (444523505325444).

The spelling of 113312302112133 in words is "one hundred thirteen trillion, three hundred twelve billion, three hundred two million, one hundred twelve thousand, one hundred thirty-three".

Divisors: 1 3 9 27 47 137 141 257 411 423 771 1233 1269 2209 2313 3699 6439 6627 6939 12079 19317 19881 35209 36237 53959 57951 59643 105627 108711 161877 173853 302633 316881 326133 485631 567713 907899 950643 1456893 1654823 1703139 2536073 2723697 4964469 5109417 7392383 7608219 8171091 13867463 14893407 15328251 22177149 22824657 41602389 44680221 66531447 68473971 77776681 119195431 124807167 199594341 233330043 347442001 357586293 374421501 651770761 699990129 1042326003 1072758879 1899842431 1955312283 2099970387 3126978009 3218276637 5699527293 5865936849 9380934027 16329774047 17098581879 17597810547 30633225767 48989322141 51295745637 89292594257 91899677301 146967966423 267877782771 275699031903 440903899269 803633348313 827097095709 2410900044939 4196751930079 12590255790237 37770767370711 113312302112133