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10676121779 is a prime number
BaseRepresentation
bin10011111000101100…
…01011000010110011
31000120001000011211202
421330112023002303
5133331041344104
64523214201415
7525364352321
oct117426130263
930501004752
1010676121779
114589435344
12209b4b326b
131011ab912b
14733c82d11
1542741551e
hex27c58b0b3

10676121779 has 2 divisors, whose sum is σ = 10676121780. Its totient is φ = 10676121778.

The previous prime is 10676121719. The next prime is 10676121811. The reversal of 10676121779 is 97712167601.

10676121779 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 is an emirp because it is prime and its reverse (97712167601) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10676121779 is a prime.

It is a super-2 number, since 2×106761217792 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10676121719) 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, 5338060889 + 5338060890.

It is an arithmetic number, because the mean of its divisors is an integer number (5338060890).

Almost surely, 210676121779 is an apocalyptic number.

10676121779 is a deficient number, since it is larger than the sum of its proper divisors (1).

10676121779 is an equidigital number, since it uses as much as digits as its factorization.

10676121779 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 222264, while the sum is 47.

The spelling of 10676121779 in words is "ten billion, six hundred seventy-six million, one hundred twenty-one thousand, seven hundred seventy-nine".