Search a number
-
+
100534834281231 = 32710612784754011
BaseRepresentation
bin10110110110111110010111…
…000101011011101100001111
3111011222000222110101002001100
4112312332113011123230033
5101134130320033444411
6553453022033314143
730114254625420060
oct2666762705335417
9434860873332040
10100534834281231
112a040647017749
12b3383a8705953
134413518073c3c
141ab7caa524567
15b9521d64b456
hex5b6f9715bb0f

100534834281231 has 48 divisors (see below), whose sum is σ = 166127727886848. Its totient is φ = 57391207473600.

The previous prime is 100534834281221. The next prime is 100534834281269. The reversal of 100534834281231 is 132182438435001.

100534834281231 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 3 + 483 + 42 + 8 + 123 + 1 = 666.

It is not a de Polignac number, because 100534834281231 - 210 = 100534834280207 is a prime.

It is a super-2 number, since 2×1005348342812312 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100534834281221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1861350016 + ... + 1861404026.

It is an arithmetic number, because the mean of its divisors is an integer number (3460994330976).

Almost surely, 2100534834281231 is an apocalyptic number.

100534834281231 is a deficient number, since it is larger than the sum of its proper divisors (65592893605617).

100534834281231 is a wasteful number, since it uses less digits than its factorization.

100534834281231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82932 (or 82929 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 100534834281231 in words is "one hundred trillion, five hundred thirty-four billion, eight hundred thirty-four million, two hundred eighty-one thousand, two hundred thirty-one".

Divisors: 1 3 7 9 21 63 1061 3183 7427 9549 22281 27847 54011 66843 83541 162033 194929 250623 378077 486099 584787 1134231 1754361 3402693 29545667 57305671 88637001 171917013 206819669 265911003 401139697 515751039 620459007 1203419091 1504044317 1861377021 3610257273 4512132951 10528310219 13536398853 31584930657 94754791971 1595791020337 4787373061011 11170537142359 14362119183033 33511611427077 100534834281231