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231221002122 = 232112887404497
BaseRepresentation
bin1101011101010111011…
…0000111111110001010
3211002211012002220220100
43113111312013332022
512242020034031442
6254115500310230
722463605042545
oct3272566077612
9732735086810
10231221002122
118a0732561a0
123898b542376
1318a5b650026
14b29676585c
15603438684c
hex35d5d87f8a

231221002122 has 48 divisors (see below), whose sum is σ = 546713024832. Its totient is φ = 70042527360.

The previous prime is 231221002109. The next prime is 231221002139. The reversal of 231221002122 is 221200122132.

231221002122 is a `hidden beast` number, since 231 + 221 + 0 + 0 + 212 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 231221002095 and 231221002104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 369378 + ... + 773874.

It is an arithmetic number, because the mean of its divisors is an integer number (11389854684).

Almost surely, 2231221002122 is an apocalyptic number.

231221002122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

231221002122 is an abundant number, since it is smaller than the sum of its proper divisors (315492022710).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

231221002122 is a wasteful number, since it uses less digits than its factorization.

231221002122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407403 (or 407400 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 231221002122 its reverse (221200122132), we get a palindrome (452421124254).

The spelling of 231221002122 in words is "two hundred thirty-one billion, two hundred twenty-one million, two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 2887 5774 8661 17322 25983 31757 51966 63514 95271 190542 285813 404497 571626 808994 1213491 2426982 3640473 4449467 7280946 8898934 13348401 26696802 40045203 80090406 1167782839 2335565678 3503348517 7006697034 10510045551 12845611229 21020091102 25691222458 38536833687 77073667374 115610501061 231221002122