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22153145141 is a prime number
BaseRepresentation
bin10100101000011011…
…100010101100110101
32010011220001101010002
4110220123202230311
5330332201121031
614102122441045
71412655424661
oct245033425465
963156041102
1022153145141
119438966916
124363063185
1321207b260a
1411022478a1
15899cceccb
hex5286e2b35

22153145141 has 2 divisors, whose sum is σ = 22153145142. Its totient is φ = 22153145140.

The previous prime is 22153145117. The next prime is 22153145143. The reversal of 22153145141 is 14154135122.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 16186200625 + 5966944516 = 127225^2 + 77246^2 .

It is a cyclic number.

It is not a de Polignac number, because 22153145141 - 226 = 22086036277 is a prime.

It is a Sophie Germain prime.

Together with 22153145143, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22153145143) 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, 11076572570 + 11076572571.

It is an arithmetic number, because the mean of its divisors is an integer number (11076572571).

Almost surely, 222153145141 is an apocalyptic number.

It is an amenable number.

22153145141 is a deficient number, since it is larger than the sum of its proper divisors (1).

22153145141 is an equidigital number, since it uses as much as digits as its factorization.

22153145141 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4800, while the sum is 29.

The spelling of 22153145141 in words is "twenty-two billion, one hundred fifty-three million, one hundred forty-five thousand, one hundred forty-one".