Search a number
-
+
131297545777 is a prime number
BaseRepresentation
bin111101001000111110…
…0011000111000110001
3110112220100111101210211
41322101330120320301
54122344132431102
6140152310024121
712325450503436
oct1722174307061
9415810441724
10131297545777
1150757050512
1221543348041
13c4c59606b8
1464d794bb8d
153636c1b7d7
hex1e91f18e31

131297545777 has 2 divisors, whose sum is σ = 131297545778. Its totient is φ = 131297545776.

The previous prime is 131297545751. The next prime is 131297545789. The reversal of 131297545777 is 777545792131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 112517310096 + 18780235681 = 335436^2 + 137041^2 .

It is a cyclic number.

It is not a de Polignac number, because 131297545777 - 219 = 131297021489 is a prime.

It is a super-3 number, since 3×1312975457773 (a number of 34 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (131297545727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65648772888 + 65648772889.

It is an arithmetic number, because the mean of its divisors is an integer number (65648772889).

Almost surely, 2131297545777 is an apocalyptic number.

It is an amenable number.

131297545777 is a deficient number, since it is larger than the sum of its proper divisors (1).

131297545777 is an equidigital number, since it uses as much as digits as its factorization.

131297545777 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 12965400, while the sum is 58.

The spelling of 131297545777 in words is "one hundred thirty-one billion, two hundred ninety-seven million, five hundred forty-five thousand, seven hundred seventy-seven".