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10313 is a prime number
BaseRepresentation
bin10100001001001
3112010222
42201021
5312223
6115425
742032
oct24111
915128
1010313
117826
125b75
134904
143a89
1530c8
hex2849

10313 has 2 divisors, whose sum is σ = 10314. Its totient is φ = 10312.

The previous prime is 10303. The next prime is 10321. The reversal of 10313 is 31301.

Adding to 10313 its reverse (31301), we get a palindrome (41614).

It can be divided in two parts, 10 and 313, that added together give a palindrome (323).

It is an a-pointer prime, because the next prime (10321) can be obtained adding 10313 to its sum of digits (8).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8464 + 1849 = 92^2 + 43^2 .

It is a cyclic number.

It is not a de Polignac number, because 10313 - 212 = 6217 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10313.

It is not a weakly prime, because it can be changed into another prime (10303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5156 + 5157.

It is an arithmetic number, because the mean of its divisors is an integer number (5157).

210313 is an apocalyptic number.

It is an amenable number.

10313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10313 is an equidigital number, since it uses as much as digits as its factorization.

10313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 8.

The square root of 10313 is about 101.5529418579. The cubic root of 10313 is about 21.7668210036.

The spelling of 10313 in words is "ten thousand, three hundred thirteen".