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22541144281 is a prime number
BaseRepresentation
bin10100111111100011…
…101001000011011001
32011011221010202212121
4110333203221003121
5332131013104111
614204422541241
71425406364545
oct247743510331
964157122777
1022541144281
119617985367
124450b97821
132182cb16c6
14113b9a6a25
158bddc2871
hex53f8e90d9

22541144281 has 2 divisors, whose sum is σ = 22541144282. Its totient is φ = 22541144280.

The previous prime is 22541144257. The next prime is 22541144291. The reversal of 22541144281 is 18244114522.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21088848400 + 1452295881 = 145220^2 + 38109^2 .

It is a cyclic number.

It is not a de Polignac number, because 22541144281 - 29 = 22541143769 is a prime.

It is a super-2 number, since 2×225411442812 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (22541144291) 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, 11270572140 + 11270572141.

It is an arithmetic number, because the mean of its divisors is an integer number (11270572141).

Almost surely, 222541144281 is an apocalyptic number.

It is an amenable number.

22541144281 is a deficient number, since it is larger than the sum of its proper divisors (1).

22541144281 is an equidigital number, since it uses as much as digits as its factorization.

22541144281 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 20480, while the sum is 34.

The spelling of 22541144281 in words is "twenty-two billion, five hundred forty-one million, one hundred forty-four thousand, two hundred eighty-one".