Search a number
-
+
131744670017 is a prime number
BaseRepresentation
bin111101010110010011…
…0000010000101000001
3110121001111211122221212
41322230212002011001
54124303113420032
6140304521255505
712342520134602
oct1725446020501
9417044748855
10131744670017
1150966482584
1221649034595
13c56749145c
14653b09bda9
1536610dcbb2
hex1eac982141

131744670017 has 2 divisors, whose sum is σ = 131744670018. Its totient is φ = 131744670016.

The previous prime is 131744669993. The next prime is 131744670047. The reversal of 131744670017 is 710076447131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 131737057936 + 7612081 = 362956^2 + 2759^2 .

It is an emirp because it is prime and its reverse (710076447131) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131744670017 is a prime.

It is not a weakly prime, because it can be changed into another prime (131744670047) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65872335008 + 65872335009.

It is an arithmetic number, because the mean of its divisors is an integer number (65872335009).

Almost surely, 2131744670017 is an apocalyptic number.

It is an amenable number.

131744670017 is a deficient number, since it is larger than the sum of its proper divisors (1).

131744670017 is an equidigital number, since it uses as much as digits as its factorization.

131744670017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 98784, while the sum is 41.

The spelling of 131744670017 in words is "one hundred thirty-one billion, seven hundred forty-four million, six hundred seventy thousand, seventeen".