Search a number
-
+
2112222113 is a prime number
BaseRepresentation
bin111110111100101…
…1111001110100001
312110012112000000122
41331321133032201
513311212101423
6545332130025
7103225406651
oct17571371641
95405460018
102112222113
11994326811
124ab466915
132787a9c91
1416074c361
15c567d8c8
hex7de5f3a1

2112222113 has 2 divisors, whose sum is σ = 2112222114. Its totient is φ = 2112222112.

The previous prime is 2112222109. The next prime is 2112222127. The reversal of 2112222113 is 3112222112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1948074769 + 164147344 = 44137^2 + 12812^2 .

It is a cyclic number.

It is not a de Polignac number, because 2112222113 - 22 = 2112222109 is a prime.

It is a super-2 number, since 2×21122221132 = 8922964509292369538, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2112222091 and 2112222100.

It is not a weakly prime, because it can be changed into another prime (2112222143) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056111056 + 1056111057.

It is an arithmetic number, because the mean of its divisors is an integer number (1056111057).

Almost surely, 22112222113 is an apocalyptic number.

It is an amenable number.

2112222113 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112222113 is an equidigital number, since it uses as much as digits as its factorization.

2112222113 is an evil number, because the sum of its binary digits is even.

The product of its digits is 96, while the sum is 17.

The square root of 2112222113 is about 45958.9176656718. The cubic root of 2112222113 is about 1283.0587073834.

Adding to 2112222113 its reverse (3112222112), we get a palindrome (5224444225).

Subtracting 2112222113 from its reverse (3112222112), we obtain a palindrome (999999999).

The spelling of 2112222113 in words is "two billion, one hundred twelve million, two hundred twenty-two thousand, one hundred thirteen".