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2221123393 is a prime number
BaseRepresentation
bin1000010001100011…
…1010011101000001
312201210102202111101
42010120322131001
514022101422033
61004222214401
7106020144256
oct20430723501
95653382441
102221123393
11a3a847975
1251ba24401
132952191c8
14170db942d
15ceee097d
hex8463a741

2221123393 has 2 divisors, whose sum is σ = 2221123394. Its totient is φ = 2221123392.

The previous prime is 2221123379. The next prime is 2221123403. The reversal of 2221123393 is 3933211222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1326634929 + 894488464 = 36423^2 + 29908^2 .

It is a cyclic number.

It is not a de Polignac number, because 2221123393 - 213 = 2221115201 is a prime.

It is not a weakly prime, because it can be changed into another prime (2221120393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110561696 + 1110561697.

It is an arithmetic number, because the mean of its divisors is an integer number (1110561697).

Almost surely, 22221123393 is an apocalyptic number.

It is an amenable number.

2221123393 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221123393 is an equidigital number, since it uses as much as digits as its factorization.

2221123393 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3888, while the sum is 28.

The square root of 2221123393 is about 47128.7957940790. The cubic root of 2221123393 is about 1304.7407563798.

The spelling of 2221123393 in words is "two billion, two hundred twenty-one million, one hundred twenty-three thousand, three hundred ninety-three".