Search a number
-
+
311223322049 is a prime number
BaseRepresentation
bin1001000011101100101…
…10110000010111000001
31002202022200120212020112
410201312112300113001
520044341132301144
6354550215521105
731325255406023
oct4416626602701
91082280525215
10311223322049
1110aa974a7272
1250398089195
132346b0b7a83
14110c5946013
158167b6299e
hex48765b05c1

311223322049 has 2 divisors, whose sum is σ = 311223322050. Its totient is φ = 311223322048.

The previous prime is 311223322037. The next prime is 311223322087. The reversal of 311223322049 is 940223322113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 263777769649 + 47445552400 = 513593^2 + 217820^2 .

It is an emirp because it is prime and its reverse (940223322113) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 311223322049 - 236 = 242503845313 is a prime.

It is not a weakly prime, because it can be changed into another prime (311223322019) 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, 155611661024 + 155611661025.

It is an arithmetic number, because the mean of its divisors is an integer number (155611661025).

Almost surely, 2311223322049 is an apocalyptic number.

It is an amenable number.

311223322049 is a deficient number, since it is larger than the sum of its proper divisors (1).

311223322049 is an equidigital number, since it uses as much as digits as its factorization.

311223322049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15552, while the sum is 32.

The spelling of 311223322049 in words is "three hundred eleven billion, two hundred twenty-three million, three hundred twenty-two thousand, forty-nine".