Search a number
-
+
132125461697 is a prime number
BaseRepresentation
bin111101100001101001…
…0101000110011000001
3110122001001100212221102
41323003102220303001
54131043104233242
6140410403104145
712355122615455
oct1730322506301
9418031325842
10132125461697
1151041418a49
1221734672055
13c5c8338a88
1465758a2665
153684759e32
hex1ec34a8cc1

132125461697 has 2 divisors, whose sum is σ = 132125461698. Its totient is φ = 132125461696.

The previous prime is 132125461681. The next prime is 132125461703. The reversal of 132125461697 is 796164521231.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70867231681 + 61258230016 = 266209^2 + 247504^2 .

It is a cyclic number.

It is not a de Polignac number, because 132125461697 - 24 = 132125461681 is a prime.

It is not a weakly prime, because it can be changed into another prime (132125461997) 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, 66062730848 + 66062730849.

It is an arithmetic number, because the mean of its divisors is an integer number (66062730849).

Almost surely, 2132125461697 is an apocalyptic number.

It is an amenable number.

132125461697 is a deficient number, since it is larger than the sum of its proper divisors (1).

132125461697 is an equidigital number, since it uses as much as digits as its factorization.

132125461697 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 544320, while the sum is 47.

The spelling of 132125461697 in words is "one hundred thirty-two billion, one hundred twenty-five million, four hundred sixty-one thousand, six hundred ninety-seven".