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4022321021441 is a prime number
BaseRepresentation
bin111010100010000101000…
…001000000001000000001
3112020112022110122002000222
4322202011001000020001
51011400203140141231
612315455002552425
7563413602363302
oct72420501001001
915215273562028
104022321021441
11131094739a428
1254b677208715
132323c32c8828
14dc9779a67a9
156e96a89b27b
hex3a885040201

4022321021441 has 2 divisors, whose sum is σ = 4022321021442. Its totient is φ = 4022321021440.

The previous prime is 4022321021423. The next prime is 4022321021443. The reversal of 4022321021441 is 1441201232204.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4002916531441 + 19404490000 = 2000729^2 + 139300^2 .

It is a cyclic number.

It is not a de Polignac number, because 4022321021441 - 230 = 4021247279617 is a prime.

Together with 4022321021443, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4022321021441.

It is not a weakly prime, because it can be changed into another prime (4022321021443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2011160510720 + 2011160510721.

It is an arithmetic number, because the mean of its divisors is an integer number (2011160510721).

Almost surely, 24022321021441 is an apocalyptic number.

It is an amenable number.

4022321021441 is a deficient number, since it is larger than the sum of its proper divisors (1).

4022321021441 is an equidigital number, since it uses as much as digits as its factorization.

4022321021441 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 26.

Adding to 4022321021441 its reverse (1441201232204), we get a palindrome (5463522253645).

The spelling of 4022321021441 in words is "four trillion, twenty-two billion, three hundred twenty-one million, twenty-one thousand, four hundred forty-one".