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23002013 is a prime number
BaseRepresentation
bin101011110111…
…1101110011101
31121021121211102
41113233232131
521342031023
62141002445
7366341156
oct127575635
947247742
1023002013
1111a90831
127853425
1349c4978
1430aa92d
152045628
hex15efb9d

23002013 has 2 divisors, whose sum is σ = 23002014. Its totient is φ = 23002012.

The previous prime is 23002009. The next prime is 23002051. The reversal of 23002013 is 31020032.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 22686169 + 315844 = 4763^2 + 562^2 .

It is a cyclic number.

It is not a de Polignac number, because 23002013 - 22 = 23002009 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 23001985 and 23002003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (23002913) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11501006 + 11501007.

It is an arithmetic number, because the mean of its divisors is an integer number (11501007).

Almost surely, 223002013 is an apocalyptic number.

It is an amenable number.

23002013 is a deficient number, since it is larger than the sum of its proper divisors (1).

23002013 is an equidigital number, since it uses as much as digits as its factorization.

23002013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 23002013 is about 4796.0413884786. The cubic root of 23002013 is about 284.3949944159.

Adding to 23002013 its reverse (31020032), we get a palindrome (54022045).

The spelling of 23002013 in words is "twenty-three million, two thousand, thirteen".