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10313100209 is a prime number
BaseRepresentation
bin10011001101011010…
…10110101110110001
3222121201220202212102
421212231112232301
5132110123201314
64423205310145
7513365622356
oct114655265661
928551822772
1010313100209
114412526915
121bb9a05355
13c84823c79
146db98662d
154056085de
hex266b56bb1

10313100209 has 2 divisors, whose sum is σ = 10313100210. Its totient is φ = 10313100208.

The previous prime is 10313100191. The next prime is 10313100211. The reversal of 10313100209 is 90200131301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9298359184 + 1014741025 = 96428^2 + 31855^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10313100209 is a prime.

Together with 10313100211, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10313102209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5156550104 + 5156550105.

It is an arithmetic number, because the mean of its divisors is an integer number (5156550105).

Almost surely, 210313100209 is an apocalyptic number.

It is an amenable number.

10313100209 is a deficient number, since it is larger than the sum of its proper divisors (1).

10313100209 is an equidigital number, since it uses as much as digits as its factorization.

10313100209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 20.

The spelling of 10313100209 in words is "ten billion, three hundred thirteen million, one hundred thousand, two hundred nine".