Search a number
-
+
131144017 is a prime number
BaseRepresentation
bin1111101000100…
…01100101010001
3100010202210202211
413310101211101
5232033102032
621002512121
73151464034
oct764214521
9303683684
10131144017
1168033494
1237b05641
1321229414
14135bb01b
15b7a7747
hex7d11951

131144017 has 2 divisors, whose sum is σ = 131144018. Its totient is φ = 131144016.

The previous prime is 131144011. The next prime is 131144047. The reversal of 131144017 is 710441131.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 112169281 + 18974736 = 10591^2 + 4356^2 .

It is an emirp because it is prime and its reverse (710441131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 131144017 - 219 = 130619729 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (131144011) 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, 65572008 + 65572009.

It is an arithmetic number, because the mean of its divisors is an integer number (65572009).

Almost surely, 2131144017 is an apocalyptic number.

It is an amenable number.

131144017 is a deficient number, since it is larger than the sum of its proper divisors (1).

131144017 is an equidigital number, since it uses as much as digits as its factorization.

131144017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 131144017 is about 11451.8128259241. The cubic root of 131144017 is about 508.0613533375.

Adding to 131144017 its reverse (710441131), we get a palindrome (841585148).

The spelling of 131144017 in words is "one hundred thirty-one million, one hundred forty-four thousand, seventeen".