Search a number
-
+
313334352953 is a prime number
BaseRepresentation
bin1001000111101000010…
…11101100110000111001
31002221202210212100020022
410203310023230300321
520113202043243303
6355535510340225
731431501025046
oct4436413546071
91087683770208
10313334352953
1111098008a006
125088705a675
132371656879b
14112460641cd
15823d158438
hex48f42ecc39

313334352953 has 2 divisors, whose sum is σ = 313334352954. Its totient is φ = 313334352952.

The previous prime is 313334352943. The next prime is 313334353009. The reversal of 313334352953 is 359253433313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 205850041849 + 107484311104 = 453707^2 + 327848^2 .

It is an emirp because it is prime and its reverse (359253433313) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 313334352953 - 24 = 313334352937 is a prime.

It is not a weakly prime, because it can be changed into another prime (313334352943) 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, 156667176476 + 156667176477.

It is an arithmetic number, because the mean of its divisors is an integer number (156667176477).

Almost surely, 2313334352953 is an apocalyptic number.

It is an amenable number.

313334352953 is a deficient number, since it is larger than the sum of its proper divisors (1).

313334352953 is an equidigital number, since it uses as much as digits as its factorization.

313334352953 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1312200, while the sum is 44.

The spelling of 313334352953 in words is "three hundred thirteen billion, three hundred thirty-four million, three hundred fifty-two thousand, nine hundred fifty-three".