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22141246757089 is a prime number
BaseRepresentation
bin1010000100011001010010…
…01001011101100011100001
32220101200102120000001120111
411002030221021131203201
510400230233132211324
6115031314235211321
74443436510114405
oct502145111354341
986350376001514
1022141246757089
117067060634019
1225971568a6b41
13c47bab7c2885
145678dbb5b105
15285e28259794
hex14232925d8e1

22141246757089 has 2 divisors, whose sum is σ = 22141246757090. Its totient is φ = 22141246757088.

The previous prime is 22141246757087. The next prime is 22141246757171. The reversal of 22141246757089 is 98075764214122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 22093008102400 + 48238654689 = 4700320^2 + 219633^2 .

It is a cyclic number.

It is not a de Polignac number, because 22141246757089 - 21 = 22141246757087 is a prime.

Together with 22141246757087, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (22141246757087) 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, 11070623378544 + 11070623378545.

It is an arithmetic number, because the mean of its divisors is an integer number (11070623378545).

Almost surely, 222141246757089 is an apocalyptic number.

It is an amenable number.

22141246757089 is a deficient number, since it is larger than the sum of its proper divisors (1).

22141246757089 is an equidigital number, since it uses as much as digits as its factorization.

22141246757089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13547520, while the sum is 58.

The spelling of 22141246757089 in words is "twenty-two trillion, one hundred forty-one billion, two hundred forty-six million, seven hundred fifty-seven thousand, eighty-nine".