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10035313 is a prime number
BaseRepresentation
bin100110010010…
…000001110001
3200212211212021
4212102001301
510032112223
6555031441
7151204321
oct46220161
920784767
1010035313
115734752
12343b581
132104972
141493281
15d3365d
hex992071

10035313 has 2 divisors, whose sum is σ = 10035314. Its totient is φ = 10035312.

The previous prime is 10035271. The next prime is 10035317. The reversal of 10035313 is 31353001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7306209 + 2729104 = 2703^2 + 1652^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10035313 is a prime.

It is not a weakly prime, because it can be changed into another prime (10035317) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5017656 + 5017657.

It is an arithmetic number, because the mean of its divisors is an integer number (5017657).

Almost surely, 210035313 is an apocalyptic number.

It is an amenable number.

10035313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10035313 is an equidigital number, since it uses as much as digits as its factorization.

10035313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 135, while the sum is 16.

The square root of 10035313 is about 3167.8562151714. The cubic root of 10035313 is about 215.6967695840.

Adding to 10035313 its reverse (31353001), we get a palindrome (41388314).

The spelling of 10035313 in words is "ten million, thirty-five thousand, three hundred thirteen".