Search a number
-
+
363161263103117 is a prime number
BaseRepresentation
bin101001010010010110001001…
…0000101010101110010001101
31202121211212200211120211000022
41102210230102011111302031
5340100013231323244432
63324213551530111525
7136331351434564313
oct12244542205256215
91677755624524008
10363161263103117
11a5794910477536
123489310427b5a5
1312783c636397bb
1465971556140b3
152beb9d0445b12
hex14a4b12155c8d

363161263103117 has 2 divisors, whose sum is σ = 363161263103118. Its totient is φ = 363161263103116.

The previous prime is 363161263103083. The next prime is 363161263103201. The reversal of 363161263103117 is 711301362161363.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 307182899369956 + 55978363733161 = 17526634^2 + 7481869^2 .

It is an emirp because it is prime and its reverse (711301362161363) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 363161263103117 - 26 = 363161263103053 is a prime.

It is a super-2 number, since 2×3631612631031172 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (363161263103917) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 181580631551558 + 181580631551559.

It is an arithmetic number, because the mean of its divisors is an integer number (181580631551559).

Almost surely, 2363161263103117 is an apocalyptic number.

It is an amenable number.

363161263103117 is a deficient number, since it is larger than the sum of its proper divisors (1).

363161263103117 is an equidigital number, since it uses as much as digits as its factorization.

363161263103117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 244944, while the sum is 44.

The spelling of 363161263103117 in words is "three hundred sixty-three trillion, one hundred sixty-one billion, two hundred sixty-three million, one hundred three thousand, one hundred seventeen".