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1822220020241 is a prime number
BaseRepresentation
bin11010100001000100110…
…001101110101000010001
320110012110122110010222022
4122201010301232220101
5214323401311121431
63513041043021225
7245436211416125
oct32410461565021
96405418403868
101822220020241
11642887772785
122551a996a815
13102ab0840b8a
14642a5863585
153260064807b
hex1a844c6ea11

1822220020241 has 2 divisors, whose sum is σ = 1822220020242. Its totient is φ = 1822220020240.

The previous prime is 1822220020171. The next prime is 1822220020261. The reversal of 1822220020241 is 1420200222281.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1162720107025 + 659499913216 = 1078295^2 + 812096^2 .

It is a cyclic number.

It is not a de Polignac number, because 1822220020241 - 230 = 1821146278417 is a prime.

It is a super-2 number, since 2×18222200202412 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1822220020241.

It is not a weakly prime, because it can be changed into another prime (1822220020261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 911110010120 + 911110010121.

It is an arithmetic number, because the mean of its divisors is an integer number (911110010121).

Almost surely, 21822220020241 is an apocalyptic number.

It is an amenable number.

1822220020241 is a deficient number, since it is larger than the sum of its proper divisors (1).

1822220020241 is an equidigital number, since it uses as much as digits as its factorization.

1822220020241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2048, while the sum is 26.

The spelling of 1822220020241 in words is "one trillion, eight hundred twenty-two billion, two hundred twenty million, twenty thousand, two hundred forty-one".