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231133023 = 32113117507
BaseRepresentation
bin11011100011011…
…00111101011111
3121002220202220100
431301230331133
5433132224043
634533552143
75504412132
oct1561547537
9532822810
10231133023
11109517730
12654a5653
1338b67c04
14229a8219
1515458cd3
hexdc6cf5f

231133023 has 24 divisors (see below), whose sum is σ = 365429376. Its totient is φ = 139611600.

The previous prime is 231133009. The next prime is 231133039. The reversal of 231133023 is 320331132.

231133023 is a `hidden beast` number, since 2 + 311 + 330 + 23 = 666.

It is a de Polignac number, because none of the positive numbers 2k-231133023 is a prime.

It is a super-2 number, since 2×2311330232 = 106844948642237058, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 231132987 and 231133005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231133093) 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 23 ways as a sum of consecutive naturals, for example, 27036 + ... + 34542.

It is an arithmetic number, because the mean of its divisors is an integer number (15226224).

Almost surely, 2231133023 is an apocalyptic number.

231133023 is a deficient number, since it is larger than the sum of its proper divisors (134296353).

231133023 is a wasteful number, since it uses less digits than its factorization.

231133023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7835 (or 7832 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 231133023 is about 15203.0596591607. The cubic root of 231133023 is about 613.6969993624.

Adding to 231133023 its reverse (320331132), we get a palindrome (551464155).

The spelling of 231133023 in words is "two hundred thirty-one million, one hundred thirty-three thousand, twenty-three".

Divisors: 1 3 9 11 33 99 311 933 2799 3421 7507 10263 22521 30789 67563 82577 247731 743193 2334677 7004031 21012093 25681447 77044341 231133023