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22332404013089 is a prime number
BaseRepresentation
bin1010001001111101010110…
…00000100001100000100001
32221001221211122002210201212
411010332223000201200201
510411343230411404324
6115255210442435505
74463314535020562
oct504765300414041
987057748083655
1022332404013089
117130134951825
122608204b02b95
13c5cc23b01241
14572c73680169
1528adb521670e
hex144fab021821

22332404013089 has 2 divisors, whose sum is σ = 22332404013090. Its totient is φ = 22332404013088.

The previous prime is 22332404013001. The next prime is 22332404013091. The reversal of 22332404013089 is 98031040423322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12812340601489 + 9520063411600 = 3579433^2 + 3085460^2 .

It is a cyclic number.

It is not a de Polignac number, because 22332404013089 - 28 = 22332404012833 is a prime.

Together with 22332404013091, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (22332404013289) 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, 11166202006544 + 11166202006545.

It is an arithmetic number, because the mean of its divisors is an integer number (11166202006545).

Almost surely, 222332404013089 is an apocalyptic number.

It is an amenable number.

22332404013089 is a deficient number, since it is larger than the sum of its proper divisors (1).

22332404013089 is an equidigital number, since it uses as much as digits as its factorization.

22332404013089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 248832, while the sum is 41.

The spelling of 22332404013089 in words is "twenty-two trillion, three hundred thirty-two billion, four hundred four million, thirteen thousand, eighty-nine".