Search a number
-
+
311642317549 is a prime number
BaseRepresentation
bin1001000100011110101…
…01000110001011101101
31002210101220000001000101
410202033111012023231
520101220413130144
6355055544231101
731341533664163
oct4421725061355
91083356001011
10311642317549
11110191a66842
125049446b491
1323506b4a4c4
1411125453233
15818e8296d4
hex488f5462ed

311642317549 has 2 divisors, whose sum is σ = 311642317550. Its totient is φ = 311642317548.

The previous prime is 311642317537. The next prime is 311642317573. The reversal of 311642317549 is 945713246113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 310795100100 + 847217449 = 557490^2 + 29107^2 .

It is an emirp because it is prime and its reverse (945713246113) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 311642317549 - 29 = 311642317037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 311642317499 and 311642317508.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (311642317949) 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, 155821158774 + 155821158775.

It is an arithmetic number, because the mean of its divisors is an integer number (155821158775).

Almost surely, 2311642317549 is an apocalyptic number.

It is an amenable number.

311642317549 is a deficient number, since it is larger than the sum of its proper divisors (1).

311642317549 is an equidigital number, since it uses as much as digits as its factorization.

311642317549 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 544320, while the sum is 46.

The spelling of 311642317549 in words is "three hundred eleven billion, six hundred forty-two million, three hundred seventeen thousand, five hundred forty-nine".