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3101313113 is a prime number
BaseRepresentation
bin1011100011011010…
…0100100001011001
322000010200000210122
42320312210201121
522322414004423
61231423523025
7136565504123
oct27066444131
98003600718
103101313113
111351679498
12726759475
133a5697922
14215c5a213
151324078c8
hexb8da4859

3101313113 has 2 divisors, whose sum is σ = 3101313114. Its totient is φ = 3101313112.

The previous prime is 3101313097. The next prime is 3101313199. The reversal of 3101313113 is 3113131013.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2204490304 + 896822809 = 46952^2 + 29947^2 .

It is a cyclic number.

It is not a de Polignac number, because 3101313113 - 24 = 3101313097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3101313091 and 3101313100.

It is not a weakly prime, because it can be changed into another prime (3101313013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1550656556 + 1550656557.

It is an arithmetic number, because the mean of its divisors is an integer number (1550656557).

Almost surely, 23101313113 is an apocalyptic number.

It is an amenable number.

3101313113 is a deficient number, since it is larger than the sum of its proper divisors (1).

3101313113 is an equidigital number, since it uses as much as digits as its factorization.

3101313113 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 3101313113 is about 55689.4344826736. The cubic root of 3101313113 is about 1458.3055830787.

Adding to 3101313113 its reverse (3113131013), we get a palindrome (6214444126).

The spelling of 3101313113 in words is "three billion, one hundred one million, three hundred thirteen thousand, one hundred thirteen".