Search a number
-
+
12420227137 is a prime number
BaseRepresentation
bin10111001000100110…
…11010000001000001
31012001120211220121111
423210103122001001
5200414034232022
65412240323321
7616533121513
oct134423320101
935046756544
1012420227137
1152a399252a
1224a7613541
13122c238a36
1485b769bb3
154ca5cc477
hex2e44da041

12420227137 has 2 divisors, whose sum is σ = 12420227138. Its totient is φ = 12420227136.

The previous prime is 12420227119. The next prime is 12420227143. The reversal of 12420227137 is 73172202421.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9674886321 + 2745340816 = 98361^2 + 52396^2 .

It is an emirp because it is prime and its reverse (73172202421) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12420227137 - 211 = 12420225089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12420227099 and 12420227108.

It is not a weakly prime, because it can be changed into another prime (12420227117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6210113568 + 6210113569.

It is an arithmetic number, because the mean of its divisors is an integer number (6210113569).

Almost surely, 212420227137 is an apocalyptic number.

It is an amenable number.

12420227137 is a deficient number, since it is larger than the sum of its proper divisors (1).

12420227137 is an equidigital number, since it uses as much as digits as its factorization.

12420227137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9408, while the sum is 31.

Adding to 12420227137 its reverse (73172202421), we get a palindrome (85592429558).

The spelling of 12420227137 in words is "twelve billion, four hundred twenty million, two hundred twenty-seven thousand, one hundred thirty-seven".