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22022122001993 is a prime number
BaseRepresentation
bin1010000000111011011001…
…10000100101011001001001
32212222021221112202111100222
411000131230300211121021
510341302301213030433
6114500453450235425
74432021466315411
oct500355460453111
985867845674328
1022022122001993
1170205908333a3
122578050125b75
13c398a5a452c9
14561c3ab69641
15282ca5040b98
hex14076cc25649

22022122001993 has 2 divisors, whose sum is σ = 22022122001994. Its totient is φ = 22022122001992.

The previous prime is 22022122001989. The next prime is 22022122002217. The reversal of 22022122001993 is 39910022122022.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21758381209744 + 263740792249 = 4664588^2 + 513557^2 .

It is a cyclic number.

It is not a de Polignac number, because 22022122001993 - 22 = 22022122001989 is a prime.

It is not a weakly prime, because it can be changed into another prime (22022122001953) 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, 11011061000996 + 11011061000997.

It is an arithmetic number, because the mean of its divisors is an integer number (11011061000997).

Almost surely, 222022122001993 is an apocalyptic number.

It is an amenable number.

22022122001993 is a deficient number, since it is larger than the sum of its proper divisors (1).

22022122001993 is an equidigital number, since it uses as much as digits as its factorization.

22022122001993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15552, while the sum is 35.

The spelling of 22022122001993 in words is "twenty-two trillion, twenty-two billion, one hundred twenty-two million, one thousand, nine hundred ninety-three".