Search a number
-
+
12144431237 is a prime number
BaseRepresentation
bin10110100111101110…
…10101000010000101
31011100100220000202112
423103313111002011
5144332433244422
65325025150405
7606643651031
oct132367250205
934310800675
1012144431237
11517223aa34
12242b18b405
1311b7063ab3
14832c971c1
154b129eee2
hex2d3dd5085

12144431237 has 2 divisors, whose sum is σ = 12144431238. Its totient is φ = 12144431236.

The previous prime is 12144431209. The next prime is 12144431249. The reversal of 12144431237 is 73213444121.

12144431237 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10541950276 + 1602480961 = 102674^2 + 40031^2 .

It is a cyclic number.

It is not a de Polignac number, because 12144431237 - 214 = 12144414853 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12144461237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6072215618 + 6072215619.

It is an arithmetic number, because the mean of its divisors is an integer number (6072215619).

Almost surely, 212144431237 is an apocalyptic number.

It is an amenable number.

12144431237 is a deficient number, since it is larger than the sum of its proper divisors (1).

12144431237 is an equidigital number, since it uses as much as digits as its factorization.

12144431237 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 16128, while the sum is 32.

Adding to 12144431237 its reverse (73213444121), we get a palindrome (85357875358).

The spelling of 12144431237 in words is "twelve billion, one hundred forty-four million, four hundred thirty-one thousand, two hundred thirty-seven".