Search a number
-
+
131123232137 is a prime number
BaseRepresentation
bin111101000011110001…
…1011011110110001001
3110112110012111100110002
41322013203123312021
54122020021412022
6140123121532345
712321233040422
oct1720743336611
9415405440402
10131123232137
1150677712057
12214b4aa40b5
13c4987cab31
1464bc734649
153626788092
hex1e878dbd89

131123232137 has 2 divisors, whose sum is σ = 131123232138. Its totient is φ = 131123232136.

The previous prime is 131123232073. The next prime is 131123232157. The reversal of 131123232137 is 731232321131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96147125776 + 34976106361 = 310076^2 + 187019^2 .

It is a cyclic number.

It is not a de Polignac number, because 131123232137 - 26 = 131123232073 is a prime.

It is not a weakly prime, because it can be changed into another prime (131123232157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65561616068 + 65561616069.

It is an arithmetic number, because the mean of its divisors is an integer number (65561616069).

Almost surely, 2131123232137 is an apocalyptic number.

It is an amenable number.

131123232137 is a deficient number, since it is larger than the sum of its proper divisors (1).

131123232137 is an equidigital number, since it uses as much as digits as its factorization.

131123232137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4536, while the sum is 29.

Adding to 131123232137 its reverse (731232321131), we get a palindrome (862355553268).

The spelling of 131123232137 in words is "one hundred thirty-one billion, one hundred twenty-three million, two hundred thirty-two thousand, one hundred thirty-seven".