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10041376309 is a prime number
BaseRepresentation
bin10010101101000001…
…10011111000110101
3221220210121202202021
421112200303320311
5131031043020214
64340221313141
7503556201406
oct112640637065
927823552667
1010041376309
114293105708
121b42a057b1
13c404465b3
146b38539ad
153db832924
hex256833e35

10041376309 has 2 divisors, whose sum is σ = 10041376310. Its totient is φ = 10041376308.

The previous prime is 10041376273. The next prime is 10041376357. The reversal of 10041376309 is 90367314001.

10041376309 is digitally balanced in base 2, 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., 8807259409 + 1234116900 = 93847^2 + 35130^2 .

It is a cyclic number.

It is not a de Polignac number, because 10041376309 - 27 = 10041376181 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10041370309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5020688154 + 5020688155.

It is an arithmetic number, because the mean of its divisors is an integer number (5020688155).

Almost surely, 210041376309 is an apocalyptic number.

It is an amenable number.

10041376309 is a deficient number, since it is larger than the sum of its proper divisors (1).

10041376309 is an equidigital number, since it uses as much as digits as its factorization.

10041376309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13608, while the sum is 34.

The spelling of 10041376309 in words is "ten billion, forty-one million, three hundred seventy-six thousand, three hundred nine".