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23513137 is a prime number
BaseRepresentation
bin101100110110…
…0100000110001
31122020120221221
41121230200301
522004410022
62155545041
7403600264
oct131544061
948216857
1023513137
11122aa84a
127a5b181
134b434cb
1431a0cdb
1520e6cc7
hex166c831

23513137 has 2 divisors, whose sum is σ = 23513138. Its totient is φ = 23513136.

The previous prime is 23513123. The next prime is 23513201. The reversal of 23513137 is 73131532.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20875761 + 2637376 = 4569^2 + 1624^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-23513137 is a prime.

It is a super-2 number, since 2×235131372 = 1105735223161538, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (23513117) 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 as a sum of consecutive naturals, namely, 11756568 + 11756569.

It is an arithmetic number, because the mean of its divisors is an integer number (11756569).

Almost surely, 223513137 is an apocalyptic number.

It is an amenable number.

23513137 is a deficient number, since it is larger than the sum of its proper divisors (1).

23513137 is an equidigital number, since it uses as much as digits as its factorization.

23513137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1890, while the sum is 25.

The square root of 23513137 is about 4849.0346461951. The cubic root of 23513137 is about 286.4860798506.

Adding to 23513137 its reverse (73131532), we get a palindrome (96644669).

The spelling of 23513137 in words is "twenty-three million, five hundred thirteen thousand, one hundred thirty-seven".