Search a number
-
+
3313230313361 is a prime number
BaseRepresentation
bin110000001101101011111…
…010100111011110010001
3102201202000201100212012012
4300031223322213132101
5413240443430011421
611014024344112305
7461241635663543
oct60155372473621
912652021325165
103313230313361
111068151155251
12456162165695
131b058966c2a7
14b650b1d7693
155b2b869a95b
hex3036bea7791

3313230313361 has 2 divisors, whose sum is σ = 3313230313362. Its totient is φ = 3313230313360.

The previous prime is 3313230313303. The next prime is 3313230313363. The reversal of 3313230313361 is 1633130323133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3313219050625 + 11262736 = 1820225^2 + 3356^2 .

It is a cyclic number.

It is not a de Polignac number, because 3313230313361 - 222 = 3313226119057 is a prime.

Together with 3313230313363, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (3313230313363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1656615156680 + 1656615156681.

It is an arithmetic number, because the mean of its divisors is an integer number (1656615156681).

Almost surely, 23313230313361 is an apocalyptic number.

It is an amenable number.

3313230313361 is a deficient number, since it is larger than the sum of its proper divisors (1).

3313230313361 is an equidigital number, since it uses as much as digits as its factorization.

3313230313361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 26244, while the sum is 32.

Adding to 3313230313361 its reverse (1633130323133), we get a palindrome (4946360636494).

The spelling of 3313230313361 in words is "three trillion, three hundred thirteen billion, two hundred thirty million, three hundred thirteen thousand, three hundred sixty-one".