Search a number
-
+
12137743 is a prime number
BaseRepresentation
bin101110010011…
…010100001111
3211211122212001
4232103110033
511101401433
61112053131
7205112002
oct56232417
924748761
1012137743
1169402a2
1240941a7
13268c8c7
14187d539
1510eb57d
hexb9350f

12137743 has 2 divisors, whose sum is σ = 12137744. Its totient is φ = 12137742.

The previous prime is 12137701. The next prime is 12137753. The reversal of 12137743 is 34773121.

It is a strong prime.

It is an emirp because it is prime and its reverse (34773121) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12137743 - 217 = 12006671 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12137753) 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, 6068871 + 6068872.

It is an arithmetic number, because the mean of its divisors is an integer number (6068872).

Almost surely, 212137743 is an apocalyptic number.

12137743 is a deficient number, since it is larger than the sum of its proper divisors (1).

12137743 is an equidigital number, since it uses as much as digits as its factorization.

12137743 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3528, while the sum is 28.

The square root of 12137743 is about 3483.9263769489. The cubic root of 12137743 is about 229.8154979078.

It can be divided in two parts, 12137 and 743, that added together give a triangular number (12880 = T160).

The spelling of 12137743 in words is "twelve million, one hundred thirty-seven thousand, seven hundred forty-three".