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231023013 = 31317348451
BaseRepresentation
bin11011100010100…
…10000110100101
3121002201011222220
431301102012211
5433120214023
634531342553
75503443324
oct1561220645
9532634886
10231023013
11109452011
1265451a59
1338b29b10
142297a0bb
15154363e3
hexdc521a5

231023013 has 16 divisors (see below), whose sum is σ = 351239616. Its totient is φ = 133804800.

The previous prime is 231023011. The next prime is 231023021. The reversal of 231023013 is 310320132.

It is not a de Polignac number, because 231023013 - 21 = 231023011 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 231022983 and 231023001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231023011) 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 15 ways as a sum of consecutive naturals, for example, 173563 + ... + 174888.

It is an arithmetic number, because the mean of its divisors is an integer number (21952476).

Almost surely, 2231023013 is an apocalyptic number.

It is an amenable number.

231023013 is a deficient number, since it is larger than the sum of its proper divisors (120216603).

231023013 is a wasteful number, since it uses less digits than its factorization.

231023013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348484.

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 231023013 is about 15199.4412068339. The cubic root of 231023013 is about 613.5996189016.

Adding to 231023013 its reverse (310320132), we get a palindrome (541343145).

The spelling of 231023013 in words is "two hundred thirty-one million, twenty-three thousand, thirteen".

Divisors: 1 3 13 17 39 51 221 663 348451 1045353 4529863 5923667 13589589 17771001 77007671 231023013