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10286813 is a prime number
BaseRepresentation
bin100111001111…
…011011011101
3201100121212002
4213033123131
510113134223
61004252045
7153302465
oct47173335
921317762
1010286813
1158966a9
123541025
132192294
14151aba5
15d82e28
hex9cf6dd

10286813 has 2 divisors, whose sum is σ = 10286814. Its totient is φ = 10286812.

The previous prime is 10286807. The next prime is 10286821. The reversal of 10286813 is 31868201.

10286813 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7252249 + 3034564 = 2693^2 + 1742^2 .

It is a cyclic number.

It is not a de Polignac number, because 10286813 - 28 = 10286557 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is equal to p682364 and since 10286813 and 682364 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10286803) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5143406 + 5143407.

It is an arithmetic number, because the mean of its divisors is an integer number (5143407).

Almost surely, 210286813 is an apocalyptic number.

It is an amenable number.

10286813 is a deficient number, since it is larger than the sum of its proper divisors (1).

10286813 is an equidigital number, since it uses as much as digits as its factorization.

10286813 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 10286813 is about 3207.3061905593. The cubic root of 10286813 is about 217.4838178827.

The spelling of 10286813 in words is "ten million, two hundred eighty-six thousand, eight hundred thirteen".