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23305113 = 32131711717
BaseRepresentation
bin101100011100…
…1101110011001
31121212000121100
41120321232121
521431230423
62151302013
7402042636
oct130715631
947760540
1023305113
1112178527
12797a909
134a9c910
14314918d
1520a5343
hex1639b99

23305113 has 24 divisors (see below), whose sum is σ = 38388168. Its totient is φ = 13496832.

The previous prime is 23305081. The next prime is 23305127. The reversal of 23305113 is 31150332.

It can be written as a sum of positive squares in 4 ways, for example, as 5184 + 23299929 = 72^2 + 4827^2 .

It is not a de Polignac number, because 23305113 - 25 = 23305081 is a prime.

It is not an unprimeable number, because it can be changed into a prime (23305133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3870 + ... + 7847.

It is an arithmetic number, because the mean of its divisors is an integer number (1599507).

Almost surely, 223305113 is an apocalyptic number.

It is an amenable number.

23305113 is a deficient number, since it is larger than the sum of its proper divisors (15083055).

23305113 is a wasteful number, since it uses less digits than its factorization.

23305113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11753 (or 11750 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 23305113 is about 4827.5369496256. The cubic root of 23305113 is about 285.6387152398.

Adding to 23305113 its reverse (31150332), we get a palindrome (54455445).

The spelling of 23305113 in words is "twenty-three million, three hundred five thousand, one hundred thirteen".

Divisors: 1 3 9 13 17 39 51 117 153 221 663 1989 11717 35151 105453 152321 199189 456963 597567 1370889 1792701 2589457 7768371 23305113