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23008313 is a prime number
BaseRepresentation
bin101011111000…
…1010000111001
31121021221110202
41113301100321
521342231223
62141051545
7366365426
oct127612071
947257422
1023008313
1111a95539
127856bb5
1349c77b3
1430acd4d
152047428
hex15f1439

23008313 has 2 divisors, whose sum is σ = 23008314. Its totient is φ = 23008312.

The previous prime is 23008309. The next prime is 23008319. The reversal of 23008313 is 31380032.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 22024249 + 984064 = 4693^2 + 992^2 .

It is a cyclic number.

It is not a de Polignac number, because 23008313 - 22 = 23008309 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (23008319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11504156 + 11504157.

It is an arithmetic number, because the mean of its divisors is an integer number (11504157).

Almost surely, 223008313 is an apocalyptic number.

It is an amenable number.

23008313 is a deficient number, since it is larger than the sum of its proper divisors (1).

23008313 is an equidigital number, since it uses as much as digits as its factorization.

23008313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 23008313 is about 4796.6981351759. The cubic root of 23008313 is about 284.4209562729.

Adding to 23008313 its reverse (31380032), we get a palindrome (54388345).

The spelling of 23008313 in words is "twenty-three million, eight thousand, three hundred thirteen".