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221112313 is a prime number
BaseRepresentation
bin11010010110111…
…10011111111001
3120102001200001221
431023132133321
5423101043223
633535112041
75323265212
oct1513363771
9512050057
10221112313
111038a2a54
1262072621
1336a69ab6
142151a409
1514629b5d
hexd2de7f9

221112313 has 2 divisors, whose sum is σ = 221112314. Its totient is φ = 221112312.

The previous prime is 221112257. The next prime is 221112337. The reversal of 221112313 is 313211122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 219839929 + 1272384 = 14827^2 + 1128^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-221112313 is a prime.

It is not a weakly prime, because it can be changed into another prime (221112113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110556156 + 110556157.

It is an arithmetic number, because the mean of its divisors is an integer number (110556157).

Almost surely, 2221112313 is an apocalyptic number.

It is an amenable number.

221112313 is a deficient number, since it is larger than the sum of its proper divisors (1).

221112313 is an equidigital number, since it uses as much as digits as its factorization.

221112313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 72, while the sum is 16.

The square root of 221112313 is about 14869.8457624819. The cubic root of 221112313 is about 604.6967612703.

Adding to 221112313 its reverse (313211122), we get a palindrome (534323435).

The spelling of 221112313 in words is "two hundred twenty-one million, one hundred twelve thousand, three hundred thirteen".