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23152013 = 192591087
BaseRepresentation
bin101100001010…
…0010110001101
31121120020120222
41120110112031
521411331023
62144121125
7400534403
oct130242615
947506528
1023152013
11120834a5
1279061a5
134a48021
143109473
152074cc8
hex161458d

23152013 has 12 divisors (see below), whose sum is σ = 24871680. Its totient is φ = 21541896.

The previous prime is 23151991. The next prime is 23152033. The reversal of 23152013 is 31025132.

It is not a de Polignac number, because 23152013 - 210 = 23150989 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 23151982 and 23152000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23152033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20756 + ... + 21842.

It is an arithmetic number, because the mean of its divisors is an integer number (2072640).

Almost surely, 223152013 is an apocalyptic number.

It is an amenable number.

23152013 is a deficient number, since it is larger than the sum of its proper divisors (1719667).

23152013 is a wasteful number, since it uses less digits than its factorization.

23152013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 23152013 is about 4811.6538736696. The cubic root of 23152013 is about 285.0118513590.

Adding to 23152013 its reverse (31025132), we get a palindrome (54177145).

The spelling of 23152013 in words is "twenty-three million, one hundred fifty-two thousand, thirteen".

Divisors: 1 19 59 361 1087 1121 20653 21299 64133 392407 1218527 23152013