Search a number
-
+
3113311013 is a prime number
BaseRepresentation
bin1011100110010001…
…0101101100100101
322000222020120211022
42321210111230211
522334001423023
61232533020525
7140102464331
oct27144255445
98028216738
103113311013
11135842370a
1272a784745
133a8008987
142176a07c1
151334c77c8
hexb9915b25

3113311013 has 2 divisors, whose sum is σ = 3113311014. Its totient is φ = 3113311012.

The previous prime is 3113310989. The next prime is 3113311051. The reversal of 3113311013 is 3101133113.

3113311013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2957510689 + 155800324 = 54383^2 + 12482^2 .

It is a cyclic number.

It is not a de Polignac number, because 3113311013 - 28 = 3113310757 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3113310982 and 3113311000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3113311093) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1556655506 + 1556655507.

It is an arithmetic number, because the mean of its divisors is an integer number (1556655507).

Almost surely, 23113311013 is an apocalyptic number.

It is an amenable number.

3113311013 is a deficient number, since it is larger than the sum of its proper divisors (1).

3113311013 is an equidigital number, since it uses as much as digits as its factorization.

3113311013 is an evil number, because the sum of its binary digits is even.

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

The square root of 3113311013 is about 55797.0520099405. The cubic root of 3113311013 is about 1460.1837219541.

Adding to 3113311013 its reverse (3101133113), we get a palindrome (6214444126).

The spelling of 3113311013 in words is "three billion, one hundred thirteen million, three hundred eleven thousand, thirteen".