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21822481714417 is a prime number
BaseRepresentation
bin1001111011000111100010…
…10001010100110011110001
32212021012122021100002112221
410331203301101110303301
510330014420304330132
6114225035410121041
74411423304006566
oct475436121246361
985235567302487
1021822481714417
116a5395402049a
122545414b80181
13c23b0b100027
145562dc76286d
1527c9bd472e97
hex13d8f1454cf1

21822481714417 has 2 divisors, whose sum is σ = 21822481714418. Its totient is φ = 21822481714416.

The previous prime is 21822481714387. The next prime is 21822481714433. The reversal of 21822481714417 is 71441718422812.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21811898243041 + 10583471376 = 4670321^2 + 102876^2 .

It is a cyclic number.

It is not a de Polignac number, because 21822481714417 - 231 = 21820334230769 is a prime.

It is not a weakly prime, because it can be changed into another prime (21822481714447) 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, 10911240857208 + 10911240857209.

It is an arithmetic number, because the mean of its divisors is an integer number (10911240857209).

Almost surely, 221822481714417 is an apocalyptic number.

It is an amenable number.

21822481714417 is a deficient number, since it is larger than the sum of its proper divisors (1).

21822481714417 is an equidigital number, since it uses as much as digits as its factorization.

21822481714417 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1605632, while the sum is 52.

The spelling of 21822481714417 in words is "twenty-one trillion, eight hundred twenty-two billion, four hundred eighty-one million, seven hundred fourteen thousand, four hundred seventeen".