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13185023 is a prime number
BaseRepresentation
bin110010010010…
…111111111111
3220210212110012
4302102333333
511333410043
61150333435
7220033205
oct62227777
926725405
1013185023
117496115
1244ba27b
1329684b7
141a73075
151256a18
hexc92fff

13185023 has 2 divisors, whose sum is σ = 13185024. Its totient is φ = 13185022.

The previous prime is 13184999. The next prime is 13185037. The reversal of 13185023 is 32058131.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 13185023 - 210 = 13183999 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13185023.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13185043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6592511 + 6592512.

It is an arithmetic number, because the mean of its divisors is an integer number (6592512).

Almost surely, 213185023 is an apocalyptic number.

13185023 is a deficient number, since it is larger than the sum of its proper divisors (1).

13185023 is an equidigital number, since it uses as much as digits as its factorization.

13185023 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 13185023 is about 3631.1186981425. The cubic root of 13185023 is about 236.2437333985.

The spelling of 13185023 in words is "thirteen million, one hundred eighty-five thousand, twenty-three".