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23427013 is a prime number
BaseRepresentation
bin101100101011…
…1011111000101
31122002012211011
41121113133011
521444131023
62154042221
7403061221
oct131273705
948065734
1023427013
1112251075
127a19371
134b1324c
14317b781
1520cb50d
hex16577c5

23427013 has 2 divisors, whose sum is σ = 23427014. Its totient is φ = 23427012.

The previous prime is 23426987. The next prime is 23427017. The reversal of 23427013 is 31072432.

23427013 = 34222 + 34232.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11716929 + 11710084 = 3423^2 + 3422^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-23427013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (23427017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11713506 + 11713507.

It is an arithmetic number, because the mean of its divisors is an integer number (11713507).

Almost surely, 223427013 is an apocalyptic number.

23427013 is the 3423-rd centered square number.

It is an amenable number.

23427013 is a deficient number, since it is larger than the sum of its proper divisors (1).

23427013 is an equidigital number, since it uses as much as digits as its factorization.

23427013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 23427013 is about 4840.1459688733. The cubic root of 23427013 is about 286.1358711835.

Adding to 23427013 its reverse (31072432), we get a palindrome (54499445).

The spelling of 23427013 in words is "twenty-three million, four hundred twenty-seven thousand, thirteen".