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10363313 is a prime number
BaseRepresentation
bin100111100010…
…000110110001
3201111111210102
4213202012301
510123111223
61010042145
7154041512
oct47420661
921444712
1010363313
115939124
123579355
1321bb04c
14153aa09
15d9a928
hex9e21b1

10363313 has 2 divisors, whose sum is σ = 10363314. Its totient is φ = 10363312.

The previous prime is 10363289. The next prime is 10363321. The reversal of 10363313 is 31336301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6315169 + 4048144 = 2513^2 + 2012^2 .

It is a cyclic number.

It is not a de Polignac number, because 10363313 - 214 = 10346929 is a prime.

It is a super-3 number, since 3×103633133 (a number of 22 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (10363333) 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, 5181656 + 5181657.

It is an arithmetic number, because the mean of its divisors is an integer number (5181657).

Almost surely, 210363313 is an apocalyptic number.

It is an amenable number.

10363313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10363313 is an equidigital number, since it uses as much as digits as its factorization.

10363313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 20.

The square root of 10363313 is about 3219.2099962568. The cubic root of 10363313 is about 218.0216079920.

Adding to 10363313 its reverse (31336301), we get a palindrome (41699614).

The spelling of 10363313 in words is "ten million, three hundred sixty-three thousand, three hundred thirteen".