Search a number
-
+
3111303113 is a prime number
BaseRepresentation
bin1011100101110010…
…1011011111001001
322000211110120111122
42321130223133021
522332443144423
61232422005025
7140046432362
oct27134533711
98024416448
103111303113
111357282096
12729b76775
133a7784a79
142172dab69
1513322c8c8
hexb972b7c9

3111303113 has 2 divisors, whose sum is σ = 3111303114. Its totient is φ = 3111303112.

The previous prime is 3111303089. The next prime is 3111303179. The reversal of 3111303113 is 3113031113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1946309689 + 1164993424 = 44117^2 + 34132^2 .

It is a cyclic number.

It is not a de Polignac number, because 3111303113 - 26 = 3111303049 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3111303091 and 3111303100.

It is not a weakly prime, because it can be changed into another prime (3111303913) 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, 1555651556 + 1555651557.

It is an arithmetic number, because the mean of its divisors is an integer number (1555651557).

Almost surely, 23111303113 is an apocalyptic number.

It is an amenable number.

3111303113 is a deficient number, since it is larger than the sum of its proper divisors (1).

3111303113 is an equidigital number, since it uses as much as digits as its factorization.

3111303113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 17.

The square root of 3111303113 is about 55779.0562218473. The cubic root of 3111303113 is about 1459.8697439620.

Adding to 3111303113 its reverse (3113031113), we get a palindrome (6224334226).

Subtracting 3111303113 from its reverse (3113031113), we obtain a cube (1728000 = 1203).

The spelling of 3111303113 in words is "three billion, one hundred eleven million, three hundred three thousand, one hundred thirteen".