Search a number
-
+
12172103131 is a prime number
BaseRepresentation
bin10110101011000001…
…11000110111011011
31011102021221220110111
423111200320313123
5144412024300011
65331454225151
7610431112066
oct132540706733
934367856414
1012172103131
115186920271
1224384b51b7
1311bca021b6
1483681b8dd
154b3919121
hex2d5838ddb

12172103131 has 2 divisors, whose sum is σ = 12172103132. Its totient is φ = 12172103130.

The previous prime is 12172103113. The next prime is 12172103137. The reversal of 12172103131 is 13130127121.

Together with previous prime (12172103113) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It is an emirp because it is prime and its reverse (13130127121) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12172103131 - 213 = 12172094939 is a prime.

It is a super-2 number, since 2×121721031312 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12172103137) 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, 6086051565 + 6086051566.

It is an arithmetic number, because the mean of its divisors is an integer number (6086051566).

Almost surely, 212172103131 is an apocalyptic number.

12172103131 is a deficient number, since it is larger than the sum of its proper divisors (1).

12172103131 is an equidigital number, since it uses as much as digits as its factorization.

12172103131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 252, while the sum is 22.

The spelling of 12172103131 in words is "twelve billion, one hundred seventy-two million, one hundred three thousand, one hundred thirty-one".