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23113 = 29797
BaseRepresentation
bin101101001001001
31011201001
411221021
51214423
6255001
7124246
oct55111
934631
1023113
1116402
1211461
13a69c
1485cd
156cad
hex5a49

23113 has 4 divisors (see below), whose sum is σ = 23940. Its totient is φ = 22288.

The previous prime is 23099. The next prime is 23117. The reversal of 23113 is 31132.

Adding to 23113 its reverse (31132), we get a palindrome (54245).

It can be divided in two parts, 231 and 13, that multiplied together give a palindrome (3003).

23113 = 1072 + 1082.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 11664 + 11449 = 108^2 + 107^2 .

It is a cyclic number.

It is not a de Polignac number, because 23113 - 25 = 23081 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 23113.

It is not an unprimeable number, because it can be changed into a prime (23117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 370 + ... + 427.

It is an arithmetic number, because the mean of its divisors is an integer number (5985).

223113 is an apocalyptic number.

23113 is the 108-th centered square number.

It is an amenable number.

23113 is a deficient number, since it is larger than the sum of its proper divisors (827).

23113 is an equidigital number, since it uses as much as digits as its factorization.

23113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826.

The product of its digits is 18, while the sum is 10.

The square root of 23113 is about 152.0296023806. The cubic root of 23113 is about 28.4851672072.

The spelling of 23113 in words is "twenty-three thousand, one hundred thirteen".

Divisors: 1 29 797 23113