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23300013 = 31117411013
BaseRepresentation
bin101100011100…
…0011110101101
31121211202121110
41120320132231
521431100023
62151222233
7402022032
oct130703655
947752543
1023300013
1112174710
127977979
134a9a4b9
143147389
1520a3a93
hex16387ad

23300013 has 32 divisors (see below), whose sum is σ = 36796032. Its totient is φ = 12953600.

The previous prime is 23299967. The next prime is 23300027. The reversal of 23300013 is 31000332.

It is a happy number.

It is not a de Polignac number, because 23300013 - 218 = 23037869 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23300093) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22495 + ... + 23507.

It is an arithmetic number, because the mean of its divisors is an integer number (1149876).

Almost surely, 223300013 is an apocalyptic number.

It is an amenable number.

23300013 is a deficient number, since it is larger than the sum of its proper divisors (13496019).

23300013 is a wasteful number, since it uses less digits than its factorization.

23300013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1085.

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 23300013 is about 4827.0087010487. The cubic root of 23300013 is about 285.6178776991.

Adding to 23300013 its reverse (31000332), we get a palindrome (54300345).

The spelling of 23300013 in words is "twenty-three million, three hundred thousand, thirteen".

Divisors: 1 3 11 17 33 41 51 123 187 451 561 697 1013 1353 2091 3039 7667 11143 17221 23001 33429 41533 51663 124599 189431 456863 568293 706061 1370589 2118183 7766671 23300013