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22022212322221 is a prime number
BaseRepresentation
bin1010000000111011100100…
…01001001000001110101101
32212222022011211201020102121
411000131302021020032231
510341302442323302341
6114500510434152541
74432023644113606
oct500356211101655
985868154636377
1022022212322221
117020627813311
122578076422751
13c398bb679c27
14561c48b5adad
15282cace324d1
hex1407722483ad

22022212322221 has 2 divisors, whose sum is σ = 22022212322222. Its totient is φ = 22022212322220.

The previous prime is 22022212322207. The next prime is 22022212322281. The reversal of 22022212322221 is 12222321222022.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 14850340860996 + 7171871461225 = 3853614^2 + 2678035^2 .

It is a cyclic number.

It is not a de Polignac number, because 22022212322221 - 27 = 22022212322093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22022212322281) 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, 11011106161110 + 11011106161111.

It is an arithmetic number, because the mean of its divisors is an integer number (11011106161111).

Almost surely, 222022212322221 is an apocalyptic number.

It is an amenable number.

22022212322221 is a deficient number, since it is larger than the sum of its proper divisors (1).

22022212322221 is an equidigital number, since it uses as much as digits as its factorization.

22022212322221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 22022212322221 its reverse (12222321222022), we get a palindrome (34244533544243).

The spelling of 22022212322221 in words is "twenty-two trillion, twenty-two billion, two hundred twelve million, three hundred twenty-two thousand, two hundred twenty-one".