Search a number
-
+
123085524917 is a prime number
BaseRepresentation
bin111001010100001111…
…0000000111110110101
3102202201001010111222002
41302220132000332311
54004034343244132
6132313353545045
711615113461605
oct1625036007665
9382631114862
10123085524917
114822262a713
121ba31115185
13b7b7514964
145d59052c05
153305ce0262
hex1ca8780fb5

123085524917 has 2 divisors, whose sum is σ = 123085524918. Its totient is φ = 123085524916.

The previous prime is 123085524907. The next prime is 123085524941. The reversal of 123085524917 is 719425580321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99093373681 + 23992151236 = 314791^2 + 154894^2 .

It is a cyclic number.

It is not a de Polignac number, because 123085524917 - 212 = 123085520821 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123085524907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61542762458 + 61542762459.

It is an arithmetic number, because the mean of its divisors is an integer number (61542762459).

Almost surely, 2123085524917 is an apocalyptic number.

It is an amenable number.

123085524917 is a deficient number, since it is larger than the sum of its proper divisors (1).

123085524917 is an equidigital number, since it uses as much as digits as its factorization.

123085524917 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 604800, while the sum is 47.

The spelling of 123085524917 in words is "one hundred twenty-three billion, eighty-five million, five hundred twenty-four thousand, nine hundred seventeen".