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10012913 is a prime number
BaseRepresentation
bin100110001100…
…100011110001
3200211201010122
4212030203301
510030403123
6554340025
7151052111
oct46144361
920751118
1010012913
115719939
12342a615
1320c7701
141489041
15d2bbc8
hex98c8f1

10012913 has 2 divisors, whose sum is σ = 10012914. Its totient is φ = 10012912.

The previous prime is 10012901. The next prime is 10012921. The reversal of 10012913 is 31921001.

It is a happy number.

10012913 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7491169 + 2521744 = 2737^2 + 1588^2 .

It is a cyclic number.

It is not a de Polignac number, because 10012913 - 220 = 8964337 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10012891 and 10012900.

It is not a weakly prime, because it can be changed into another prime (10012213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5006456 + 5006457.

It is an arithmetic number, because the mean of its divisors is an integer number (5006457).

Almost surely, 210012913 is an apocalyptic number.

It is an amenable number.

10012913 is a deficient number, since it is larger than the sum of its proper divisors (1).

10012913 is an equidigital number, since it uses as much as digits as its factorization.

10012913 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 17.

The square root of 10012913 is about 3164.3187260451. The cubic root of 10012913 is about 215.5361631665.

Adding to 10012913 its reverse (31921001), we get a palindrome (41933914).

The spelling of 10012913 in words is "ten million, twelve thousand, nine hundred thirteen".