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10168013 is a prime number
BaseRepresentation
bin100110110010…
…011011001101
3201010120220002
4212302123031
510100334023
61001534045
7152266232
oct46623315
921116802
1010168013
115815419
1234a4325
13215019b
1414c9789
15d5cb28
hex9b26cd

10168013 has 2 divisors, whose sum is σ = 10168014. Its totient is φ = 10168012.

The previous prime is 10167977. The next prime is 10168019. The reversal of 10168013 is 31086101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8282884 + 1885129 = 2878^2 + 1373^2 .

It is a cyclic number.

It is not a de Polignac number, because 10168013 - 28 = 10167757 is a prime.

It is a super-3 number, since 3×101680133 (a number of 22 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10168019) 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, 5084006 + 5084007.

It is an arithmetic number, because the mean of its divisors is an integer number (5084007).

Almost surely, 210168013 is an apocalyptic number.

It is an amenable number.

10168013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10168013 is an equidigital number, since it uses as much as digits as its factorization.

10168013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 10168013 is about 3188.7321932078. The cubic root of 10168013 is about 216.6433508112.

The spelling of 10168013 in words is "ten million, one hundred sixty-eight thousand, thirteen".