Search a number
-
+
3313114313 is a prime number
BaseRepresentation
bin1100010101111010…
…0001110011001001
322112220012122102112
43011132201303021
523241124124223
61304431312105
7145050002255
oct30536416311
98486178375
103313114313
111450191903
1278567b635
1340a524592
14236031265
15145ce3778
hexc57a1cc9

3313114313 has 2 divisors, whose sum is σ = 3313114314. Its totient is φ = 3313114312.

The previous prime is 3313114253. The next prime is 3313114333. The reversal of 3313114313 is 3134113133.

3313114313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2167088704 + 1146025609 = 46552^2 + 33853^2 .

It is a cyclic number.

It is not a de Polignac number, because 3313114313 - 212 = 3313110217 is a prime.

It is not a weakly prime, because it can be changed into another prime (3313114333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1656557156 + 1656557157.

It is an arithmetic number, because the mean of its divisors is an integer number (1656557157).

Almost surely, 23313114313 is an apocalyptic number.

It is an amenable number.

3313114313 is a deficient number, since it is larger than the sum of its proper divisors (1).

3313114313 is an equidigital number, since it uses as much as digits as its factorization.

3313114313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 972, while the sum is 23.

The square root of 3313114313 is about 57559.6587290092. The cubic root of 3313114313 is about 1490.7751342748.

Adding to 3313114313 its reverse (3134113133), we get a palindrome (6447227446).

The spelling of 3313114313 in words is "three billion, three hundred thirteen million, one hundred fourteen thousand, three hundred thirteen".