Search a number
-
+
131410314257 is a prime number
BaseRepresentation
bin111101001100010101…
…0100100010000010001
3110120012012200122002012
41322120222210100101
54123112020024012
6140211415032305
712331320145505
oct1723052442021
9416165618065
10131410314257
1150804773102
122157506b695
13c513124c01
146508904305
153641a94622
hex1e98aa4411

131410314257 has 2 divisors, whose sum is σ = 131410314258. Its totient is φ = 131410314256.

The previous prime is 131410314227. The next prime is 131410314271. The reversal of 131410314257 is 752413014131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 131409150016 + 1164241 = 362504^2 + 1079^2 .

It is a cyclic number.

It is not a de Polignac number, because 131410314257 - 28 = 131410314001 is a prime.

It is not a weakly prime, because it can be changed into another prime (131410314227) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65705157128 + 65705157129.

It is an arithmetic number, because the mean of its divisors is an integer number (65705157129).

Almost surely, 2131410314257 is an apocalyptic number.

It is an amenable number.

131410314257 is a deficient number, since it is larger than the sum of its proper divisors (1).

131410314257 is an equidigital number, since it uses as much as digits as its factorization.

131410314257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10080, while the sum is 32.

Adding to 131410314257 its reverse (752413014131), we get a palindrome (883823328388).

The spelling of 131410314257 in words is "one hundred thirty-one billion, four hundred ten million, three hundred fourteen thousand, two hundred fifty-seven".