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2112221113 is a prime number
BaseRepresentation
bin111110111100101…
…1110111110111001
312110012111221122121
41331321132332321
513311212033423
6545332121241
7103225404022
oct17571367671
95405457577
102112221113
11994325a92
124ab466221
132787a96a2
1416074bc49
15c567d45d
hex7de5efb9

2112221113 has 2 divisors, whose sum is σ = 2112221114. Its totient is φ = 2112221112.

The previous prime is 2112221107. The next prime is 2112221129. The reversal of 2112221113 is 3111222112.

It is an a-pointer prime, because the next prime (2112221129) can be obtained adding 2112221113 to its sum of digits (16).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2063612329 + 48608784 = 45427^2 + 6972^2 .

It is a cyclic number.

It is not a de Polignac number, because 2112221113 - 217 = 2112090041 is a prime.

It is a super-2 number, since 2×21122211132 = 8922956060405917538, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2112221213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056110556 + 1056110557.

It is an arithmetic number, because the mean of its divisors is an integer number (1056110557).

Almost surely, 22112221113 is an apocalyptic number.

It is an amenable number.

2112221113 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112221113 is an equidigital number, since it uses as much as digits as its factorization.

2112221113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 48, while the sum is 16.

The square root of 2112221113 is about 45958.9067863891. The cubic root of 2112221113 is about 1283.0585049017.

Adding to 2112221113 its reverse (3111222112), we get a palindrome (5223443225).

Subtracting 2112221113 from its reverse (3111222112), we obtain a palindrome (999000999).

The spelling of 2112221113 in words is "two billion, one hundred twelve million, two hundred twenty-one thousand, one hundred thirteen".