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22021122102041 is a prime number
BaseRepresentation
bin1010000000111001100010…
…01010010001001100011001
32212222012100212021022111102
411000130301022101030121
510341243224224231131
6114500210331041145
74431654635312246
oct500346112211431
985865325238442
1022021122102041
1170201183787a7
122577a112a01b5
13c3977684182a
14561b840465cd
15282c4737e1cb
hex140731291319

22021122102041 has 2 divisors, whose sum is σ = 22021122102042. Its totient is φ = 22021122102040.

The previous prime is 22021122102017. The next prime is 22021122102121. The reversal of 22021122102041 is 14020122112022.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 15468520464016 + 6552601638025 = 3933004^2 + 2559805^2 .

It is a cyclic number.

It is not a de Polignac number, because 22021122102041 - 214 = 22021122085657 is a prime.

It is not a weakly prime, because it can be changed into another prime (22021122102241) 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, 11010561051020 + 11010561051021.

It is an arithmetic number, because the mean of its divisors is an integer number (11010561051021).

Almost surely, 222021122102041 is an apocalyptic number.

It is an amenable number.

22021122102041 is a deficient number, since it is larger than the sum of its proper divisors (1).

22021122102041 is an equidigital number, since it uses as much as digits as its factorization.

22021122102041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 22021122102041 its reverse (14020122112022), we get a palindrome (36041244214063).

The spelling of 22021122102041 in words is "twenty-two trillion, twenty-one billion, one hundred twenty-two million, one hundred two thousand, forty-one".