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22021311312029 is a prime number
BaseRepresentation
bin1010000000111001111000…
…11100000011000010011101
32212222012212001022011210202
411000130330130003002131
510341244121143441104
6114500241210313245
74431662423500001
oct500347434030235
985865761264722
1022021311312029
117020205160a97
122577a64728825
13c397a6abb7c3
14561ba121a701
15282c58ca651e
hex14073c70309d

22021311312029 has 2 divisors, whose sum is σ = 22021311312030. Its totient is φ = 22021311312028.

The previous prime is 22021311311971. The next prime is 22021311312041. The reversal of 22021311312029 is 92021311312022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13781713291129 + 8239598020900 = 3712373^2 + 2870470^2 .

It is a cyclic number.

It is not a de Polignac number, because 22021311312029 - 28 = 22021311311773 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 22021311311992 and 22021311312010.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22021311312079) 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, 11010655656014 + 11010655656015.

It is an arithmetic number, because the mean of its divisors is an integer number (11010655656015).

Almost surely, 222021311312029 is an apocalyptic number.

It is an amenable number.

22021311312029 is a deficient number, since it is larger than the sum of its proper divisors (1).

22021311312029 is an equidigital number, since it uses as much as digits as its factorization.

22021311312029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 29.

The spelling of 22021311312029 in words is "twenty-two trillion, twenty-one billion, three hundred eleven million, three hundred twelve thousand, twenty-nine".