Search a number
-
+
12162318488191 is a prime number
BaseRepresentation
bin1011000011111100001010…
…1011000101001001111111
31121001201001212221122200101
42300333002223011021333
53043231412013110231
641511143022341531
72363461406261344
oct260770253051177
947051055848611
1012162318488191
11396a012796503
12144517ba2a8a7
136a2b950a58c1
143009333b47cb
151615831d2661
hexb0fc2ac527f

12162318488191 has 2 divisors, whose sum is σ = 12162318488192. Its totient is φ = 12162318488190.

The previous prime is 12162318488153. The next prime is 12162318488237. The reversal of 12162318488191 is 19188481326121.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 12162318488191 - 219 = 12162317963903 is a prime.

It is a super-4 number, since 4×121623184881914 (a number of 53 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12162318488591) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6081159244095 + 6081159244096.

It is an arithmetic number, because the mean of its divisors is an integer number (6081159244096).

Almost surely, 212162318488191 is an apocalyptic number.

12162318488191 is a deficient number, since it is larger than the sum of its proper divisors (1).

12162318488191 is an equidigital number, since it uses as much as digits as its factorization.

12162318488191 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1327104, while the sum is 55.

The spelling of 12162318488191 in words is "twelve trillion, one hundred sixty-two billion, three hundred eighteen million, four hundred eighty-eight thousand, one hundred ninety-one".