Search a number
-
+
131112637 is a prime number
BaseRepresentation
bin1111101000010…
…01111010111101
3100010201012201121
413310021322331
5232031101022
621002110541
73151303405
oct764117275
9303635647
10131112637
1168011957
1237aab451
1321218056
14135ad805
15b79d2c7
hex7d09ebd

131112637 has 2 divisors, whose sum is σ = 131112638. Its totient is φ = 131112636.

The previous prime is 131112623. The next prime is 131112649. The reversal of 131112637 is 736211131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100520676 + 30591961 = 10026^2 + 5531^2 .

It is a cyclic number.

It is not a de Polignac number, because 131112637 - 215 = 131079869 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131112617) 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, 65556318 + 65556319.

It is an arithmetic number, because the mean of its divisors is an integer number (65556319).

Almost surely, 2131112637 is an apocalyptic number.

It is an amenable number.

131112637 is a deficient number, since it is larger than the sum of its proper divisors (1).

131112637 is an equidigital number, since it uses as much as digits as its factorization.

131112637 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 756, while the sum is 25.

The square root of 131112637 is about 11450.4426551990. The cubic root of 131112637 is about 508.0208273128.

Adding to 131112637 its reverse (736211131), we get a palindrome (867323768).

The spelling of 131112637 in words is "one hundred thirty-one million, one hundred twelve thousand, six hundred thirty-seven".