Search a number
-
+
10359996167 is a prime number
BaseRepresentation
bin10011010011000000…
…01111111100000111
3222202000011100000202
421221200033330013
5132204124334132
64432002401115
7514505341313
oct115140177407
928660140022
1010359996167
114436a47504
12201166019b
13c91463561
14703cb2b43
154097bd762
hex26980ff07

10359996167 has 2 divisors, whose sum is σ = 10359996168. Its totient is φ = 10359996166.

The previous prime is 10359996137. The next prime is 10359996211. The reversal of 10359996167 is 76169995301.

10359996167 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 is an emirp because it is prime and its reverse (76169995301) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10359996167 - 214 = 10359979783 is a prime.

It is a super-3 number, since 3×103599961673 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10359996137) 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, 5179998083 + 5179998084.

It is an arithmetic number, because the mean of its divisors is an integer number (5179998084).

Almost surely, 210359996167 is an apocalyptic number.

10359996167 is a deficient number, since it is larger than the sum of its proper divisors (1).

10359996167 is an equidigital number, since it uses as much as digits as its factorization.

10359996167 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2755620, while the sum is 56.

The spelling of 10359996167 in words is "ten billion, three hundred fifty-nine million, nine hundred ninety-six thousand, one hundred sixty-seven".