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23857013 is a prime number
BaseRepresentation
bin101101100000…
…0011101110101
31122220001200002
41123000131311
522101411023
62211201045
7406531655
oct133003565
948801602
1023857013
1112515144
127ba6185
134c33b9b
143250365
152163b28
hex16c0775

23857013 has 2 divisors, whose sum is σ = 23857014. Its totient is φ = 23857012.

The previous prime is 23856997. The next prime is 23857033. The reversal of 23857013 is 31075832.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18130564 + 5726449 = 4258^2 + 2393^2 .

It is a cyclic number.

It is not a de Polignac number, because 23857013 - 24 = 23856997 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (23857033) 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, 11928506 + 11928507.

It is an arithmetic number, because the mean of its divisors is an integer number (11928507).

Almost surely, 223857013 is an apocalyptic number.

It is an amenable number.

23857013 is a deficient number, since it is larger than the sum of its proper divisors (1).

23857013 is an equidigital number, since it uses as much as digits as its factorization.

23857013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 23857013 is about 4884.3641346648. The cubic root of 23857013 is about 287.8759311595.

The spelling of 23857013 in words is "twenty-three million, eight hundred fifty-seven thousand, thirteen".