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10086983369 is a prime number
BaseRepresentation
bin10010110010011101…
…10010011011001001
3222000222102211212122
421121032302123021
5131124231431434
64344531021025
7504651641531
oct113116623311
928028384778
1010086983369
1143069259a1
121b5613a775
13c49a24318
146b99264c1
153e0840c2e
hex2593b26c9

10086983369 has 2 divisors, whose sum is σ = 10086983370. Its totient is φ = 10086983368.

The previous prime is 10086983351. The next prime is 10086983383. The reversal of 10086983369 is 96338968001.

10086983369 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7109862400 + 2977120969 = 84320^2 + 54563^2 .

It is a cyclic number.

It is not a de Polignac number, because 10086983369 - 232 = 5792016073 is a prime.

It is a super-2 number, since 2×100869833692 (a number of 21 digits) contains 22 as substring.

It is a Sophie Germain 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 10086983369.

It is not a weakly prime, because it can be changed into another prime (10086983399) 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, 5043491684 + 5043491685.

It is an arithmetic number, because the mean of its divisors is an integer number (5043491685).

Almost surely, 210086983369 is an apocalyptic number.

It is an amenable number.

10086983369 is a deficient number, since it is larger than the sum of its proper divisors (1).

10086983369 is an equidigital number, since it uses as much as digits as its factorization.

10086983369 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1679616, while the sum is 53.

The spelling of 10086983369 in words is "ten billion, eighty-six million, nine hundred eighty-three thousand, three hundred sixty-nine".