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2221113113 is a prime number
BaseRepresentation
bin1000010001100011…
…0111111100011001
312201210102020101122
42010120313330121
514022101104423
61004222055025
7106020102302
oct20430677431
95653366348
102221113113
11a3a84017a
1251ba1a475
1329521461b
14170db57a9
15ceedc8c8
hex84637f19

2221113113 has 2 divisors, whose sum is σ = 2221113114. Its totient is φ = 2221113112.

The previous prime is 2221113107. The next prime is 2221113137. The reversal of 2221113113 is 3113111222.

2221113113 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., 1952579344 + 268533769 = 44188^2 + 16387^2 .

It is a cyclic number.

It is not a de Polignac number, because 2221113113 - 28 = 2221112857 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 = 2221113091 and 2221113100.

It is not a weakly prime, because it can be changed into another prime (2221113413) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110556556 + 1110556557.

It is an arithmetic number, because the mean of its divisors is an integer number (1110556557).

Almost surely, 22221113113 is an apocalyptic number.

It is an amenable number.

2221113113 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221113113 is an equidigital number, since it uses as much as digits as its factorization.

2221113113 is an evil number, because the sum of its binary digits is even.

The product of its digits is 72, while the sum is 17.

The square root of 2221113113 is about 47128.6867311195. The cubic root of 2221113113 is about 1304.7387434711.

Adding to 2221113113 its reverse (3113111222), we get a palindrome (5334224335).

The spelling of 2221113113 in words is "two billion, two hundred twenty-one million, one hundred thirteen thousand, one hundred thirteen".