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231311211021 = 32112212406989
BaseRepresentation
bin1101011101101100111…
…0001111101000001101
3211010001110212000020200
43113123032033220031
512242211132223041
6254132442004113
722466051565342
oct3273316175015
9733043760220
10231311211021
118a10a16a500
12389b57a6639
1318a74246087
14b2a47287c9
15603c2551b6
hex35db38fa0d

231311211021 has 18 divisors (see below), whose sum is σ = 367251685710. Its totient is φ = 140188612080.

The previous prime is 231311211017. The next prime is 231311211029. The reversal of 231311211021 is 120112113132.

231311211021 is a `hidden beast` number, since 231 + 311 + 21 + 102 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 154654214121 + 76656996900 = 393261^2 + 276870^2 .

It is not a de Polignac number, because 231311211021 - 22 = 231311211017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 231311210985 and 231311211003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231311211029) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 106202406 + ... + 106204583.

Almost surely, 2231311211021 is an apocalyptic number.

It is an amenable number.

231311211021 is a deficient number, since it is larger than the sum of its proper divisors (135940474689).

231311211021 is a wasteful number, since it uses less digits than its factorization.

231311211021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212407017 (or 212407003 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 231311211021 its reverse (120112113132), we get a palindrome (351423324153).

The spelling of 231311211021 in words is "two hundred thirty-one billion, three hundred eleven million, two hundred eleven thousand, twenty-one".

Divisors: 1 3 9 11 33 99 121 363 1089 212406989 637220967 1911662901 2336476879 7009430637 21028291911 25701245669 77103737007 231311211021