Search a number
-
+
12132143137 is a prime number
BaseRepresentation
bin10110100110010000…
…11101000000100001
31011022111202201122201
423103020131000201
5144321312040022
65323505533201
7606434341462
oct132310350041
934274681581
1012132143137
115166307784
122427044201
1311b465092a
148313b8d69
154b0174127
hex2d321d021

12132143137 has 2 divisors, whose sum is σ = 12132143138. Its totient is φ = 12132143136.

The previous prime is 12132143123. The next prime is 12132143141. The reversal of 12132143137 is 73134123121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12065704336 + 66438801 = 109844^2 + 8151^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12132143137 is a prime.

It is not a weakly prime, because it can be changed into another prime (12132143197) 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, 6066071568 + 6066071569.

It is an arithmetic number, because the mean of its divisors is an integer number (6066071569).

Almost surely, 212132143137 is an apocalyptic number.

It is an amenable number.

12132143137 is a deficient number, since it is larger than the sum of its proper divisors (1).

12132143137 is an equidigital number, since it uses as much as digits as its factorization.

12132143137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3024, while the sum is 28.

Adding to 12132143137 its reverse (73134123121), we get a palindrome (85266266258).

The spelling of 12132143137 in words is "twelve billion, one hundred thirty-two million, one hundred forty-three thousand, one hundred thirty-seven".