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231131130021 = 3411895235573
BaseRepresentation
bin1101011101000001111…
…1010010100010100101
3211002120220222221120000
43113100133102202211
512241324032130041
6254102530131513
722461434122011
oct3272037224245
9732526887500
10231131130021
118a027551a30
1238965420b99
1318a45b4437c
14b28884d541
15602b532bb6
hex35d07d28a5

231131130021 has 80 divisors (see below), whose sum is σ = 381687007680. Its totient is φ = 138215911680.

The previous prime is 231131130019. The next prime is 231131130119. The reversal of 231131130021 is 120031131132.

231131130021 is a `hidden beast` number, since 2 + 31 + 1 + 311 + 300 + 21 = 666.

231131130021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 231131130021 - 21 = 231131130019 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 231131129976 and 231131130003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231131130011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 41470591 + ... + 41476163.

It is an arithmetic number, because the mean of its divisors is an integer number (4771087596).

Almost surely, 2231131130021 is an apocalyptic number.

It is an amenable number.

231131130021 is a deficient number, since it is larger than the sum of its proper divisors (150555877659).

231131130021 is a wasteful number, since it uses less digits than its factorization.

231131130021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6208 (or 6199 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 231131130021 its reverse (120031131132), we get a palindrome (351162261153).

The spelling of 231131130021 in words is "two hundred thirty-one billion, one hundred thirty-one million, one hundred thirty thousand, twenty-one".

Divisors: 1 3 9 11 27 33 81 89 99 267 297 523 801 891 979 1569 2403 2937 4707 5573 5753 7209 8811 14121 16719 17259 26433 42363 46547 50157 51777 61303 79299 139641 150471 155331 183909 418923 451413 465993 495997 512017 551727 1256769 1487991 1536051 1655181 2914679 3770307 4463973 4608153 4965543 5455967 8744037 13391919 13824459 16367901 26232111 32061469 40175757 41473377 49103703 78696333 96184407 147311109 236088999 259406431 288553221 441933327 778219293 865659663 2334657879 2596978989 2853470741 7003973637 8560412223 21011920911 25681236669 77043710007 231131130021