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222001122041 is a prime number
BaseRepresentation
bin1100111011000001001…
…1000100101011111001
3210020000122021111010022
43032300103010223321
512114124241401131
6245552542300225
722016252254646
oct3166023045371
9706018244108
10222001122041
1186171933896
1237037887675
1317c1c474a9a
14aa60074dcd
155b94c2537b
hex33b04c4af9

222001122041 has 2 divisors, whose sum is σ = 222001122042. Its totient is φ = 222001122040.

The previous prime is 222001122029. The next prime is 222001122071. The reversal of 222001122041 is 140221100222.

222001122041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 190235545600 + 31765576441 = 436160^2 + 178229^2 .

It is a cyclic number.

It is not a de Polignac number, because 222001122041 - 214 = 222001105657 is a prime.

It is not a weakly prime, because it can be changed into another prime (222001122071) 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, 111000561020 + 111000561021.

It is an arithmetic number, because the mean of its divisors is an integer number (111000561021).

Almost surely, 2222001122041 is an apocalyptic number.

It is an amenable number.

222001122041 is a deficient number, since it is larger than the sum of its proper divisors (1).

222001122041 is an equidigital number, since it uses as much as digits as its factorization.

222001122041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 222001122041 its reverse (140221100222), we get a palindrome (362222222263).

The spelling of 222001122041 in words is "two hundred twenty-two billion, one million, one hundred twenty-two thousand, forty-one".