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231233121 = 32773137367
BaseRepresentation
bin11011100100001…
…01011001100001
3121010002212012200
431302011121201
5433143424441
634540043413
75505310020
oct1562053141
9533085180
10231233121
11109585959
1265533569
1338ba1642
14229d28b7
15154787b6
hexdc85661

231233121 has 48 divisors (see below), whose sum is σ = 390833664. Its totient is φ = 129019392.

The previous prime is 231233089. The next prime is 231233129. The reversal of 231233121 is 121332132.

231233121 is a `hidden beast` number, since 2 + 312 + 331 + 21 = 666.

It is not a de Polignac number, because 231233121 - 25 = 231233089 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 231233094 and 231233103.

It is not an unprimeable number, because it can be changed into a prime (231233129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 629880 + ... + 630246.

It is an arithmetic number, because the mean of its divisors is an integer number (8142368).

Almost surely, 2231233121 is an apocalyptic number.

231233121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

231233121 is a deficient number, since it is larger than the sum of its proper divisors (159600543).

231233121 is a wasteful number, since it uses less digits than its factorization.

231233121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 587 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 231233121 is about 15206.3513375168. The cubic root of 231233121 is about 613.7855789109.

Adding to 231233121 its reverse (121332132), we get a palindrome (352565253).

It can be divided in two parts, 23123 and 3121, that added together give a square (26244 = 1622).

The spelling of 231233121 in words is "two hundred thirty-one million, two hundred thirty-three thousand, one hundred twenty-one".

Divisors: 1 3 7 9 21 63 73 137 219 367 411 511 657 959 1101 1233 1533 2569 2877 3303 4599 7707 8631 10001 23121 26791 30003 50279 70007 80373 90009 150837 187537 210021 241119 351953 452511 562611 630063 1055859 1687833 3167577 3670367 11011101 25692569 33033303 77077707 231233121