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10193768681 is a prime number
BaseRepresentation
bin10010111111001100…
…01001000011101001
3222022102101002210012
421133212021003221
5131334101044211
64403303501305
7510416414135
oct113746110351
928272332705
1010193768681
114361131318
121b85a57835
13c65ba23b5
146c9ba23c5
153e9dd5d8b
hex25f9890e9

10193768681 has 2 divisors, whose sum is σ = 10193768682. Its totient is φ = 10193768680.

The previous prime is 10193768609. The next prime is 10193768723. The reversal of 10193768681 is 18686739101.

10193768681 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., 7589197456 + 2604571225 = 87116^2 + 51035^2 .

It is a cyclic number.

It is not a de Polignac number, because 10193768681 - 222 = 10189574377 is a prime.

It is a super-2 number, since 2×101937686812 (a number of 21 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (10193768381) 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, 5096884340 + 5096884341.

It is an arithmetic number, because the mean of its divisors is an integer number (5096884341).

Almost surely, 210193768681 is an apocalyptic number.

It is an amenable number.

10193768681 is a deficient number, since it is larger than the sum of its proper divisors (1).

10193768681 is an equidigital number, since it uses as much as digits as its factorization.

10193768681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 435456, while the sum is 50.

The spelling of 10193768681 in words is "ten billion, one hundred ninety-three million, seven hundred sixty-eight thousand, six hundred eighty-one".