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113131130211 = 321110331106233
BaseRepresentation
bin110100101011100100…
…1000000110101100011
3101211000022011212112200
41221113021000311203
53323143032131321
6123545520424243
711113331511651
oct1512711006543
9354008155480
10113131130211
1143a84634630
1219b13478083
13a88c104488
145692da1dd1
152e21e3ed26
hex1a57240d63

113131130211 has 24 divisors (see below), whose sum is σ = 178439969136. Its totient is φ = 68497885440.

The previous prime is 113131130191. The next prime is 113131130249. The reversal of 113131130211 is 112031131311.

113131130211 is a `hidden beast` number, since 11 + 31 + 311 + 302 + 11 = 666.

It is not a de Polignac number, because 113131130211 - 231 = 110983646563 is a prime.

It is not an unprimeable number, because it can be changed into a prime (113131130111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 450850 + ... + 655383.

It is an arithmetic number, because the mean of its divisors is an integer number (7434998714).

Almost surely, 2113131130211 is an apocalyptic number.

113131130211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

113131130211 is a deficient number, since it is larger than the sum of its proper divisors (65308838925).

113131130211 is a wasteful number, since it uses less digits than its factorization.

113131130211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107283 (or 1107280 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 113131130211 its reverse (112031131311), we get a palindrome (225162261522).

It can be divided in two parts, 113131 and 130211, that added together give a palindrome (243342).

The spelling of 113131130211 in words is "one hundred thirteen billion, one hundred thirty-one million, one hundred thirty thousand, two hundred eleven".

Divisors: 1 3 9 11 33 99 1033 3099 9297 11363 34089 102267 1106233 3318699 9956097 12168563 36505689 109517067 1142738689 3428216067 10284648201 12570125579 37710376737 113131130211