Search a number
-
+
431315513113 is a prime number
BaseRepresentation
bin1100100011011000110…
…10000110111100011001
31112020022010020021002211
412101230122012330121
524031313232404423
6530051004155121
743106254241032
oct6215432067431
91466263207084
10431315513113
11156a133a9951
126b712838aa1
1331899410464
1416c39209a89
15b345c7910d
hex646c686f19

431315513113 has 2 divisors, whose sum is σ = 431315513114. Its totient is φ = 431315513112.

The previous prime is 431315513093. The next prime is 431315513149. The reversal of 431315513113 is 311315513134.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 425817587209 + 5497925904 = 652547^2 + 74148^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-431315513113 is a prime.

It is not a weakly prime, because it can be changed into another prime (431315513173) 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, 215657756556 + 215657756557.

It is an arithmetic number, because the mean of its divisors is an integer number (215657756557).

Almost surely, 2431315513113 is an apocalyptic number.

It is an amenable number.

431315513113 is a deficient number, since it is larger than the sum of its proper divisors (1).

431315513113 is an equidigital number, since it uses as much as digits as its factorization.

431315513113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8100, while the sum is 31.

The spelling of 431315513113 in words is "four hundred thirty-one billion, three hundred fifteen million, five hundred thirteen thousand, one hundred thirteen".