Search a number
-
+
36306431137 is a prime number
BaseRepresentation
bin100001110100000010…
…000010110010100001
310110201020221210112201
4201310002002302201
51043323421244022
624402352453201
72423464400314
oct416402026241
9113636853481
1036306431137
1114441041099
127052b4a201
133567aa0c62
141a85c2297b
15e275e1127
hex874082ca1

36306431137 has 2 divisors, whose sum is σ = 36306431138. Its totient is φ = 36306431136.

The previous prime is 36306431113. The next prime is 36306431149. The reversal of 36306431137 is 73113460363.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31810862736 + 4495568401 = 178356^2 + 67049^2 .

It is a cyclic number.

It is not a de Polignac number, because 36306431137 - 227 = 36172213409 is a prime.

It is a super-2 number, since 2×363064311372 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 36306431096 and 36306431105.

It is not a weakly prime, because it can be changed into another prime (36306431167) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18153215568 + 18153215569.

It is an arithmetic number, because the mean of its divisors is an integer number (18153215569).

Almost surely, 236306431137 is an apocalyptic number.

It is an amenable number.

36306431137 is a deficient number, since it is larger than the sum of its proper divisors (1).

36306431137 is an equidigital number, since it uses as much as digits as its factorization.

36306431137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 81648, while the sum is 37.

The spelling of 36306431137 in words is "thirty-six billion, three hundred six million, four hundred thirty-one thousand, one hundred thirty-seven".