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220042412441 is a prime number
BaseRepresentation
bin1100110011101110001…
…1001100000110011001
3210000222010121201200022
43030323203030012121
512101121324144231
6245030332320225
721616566434225
oct3147343140631
9700863551608
10220042412441
1185357229325
123678b913075
1317999726717
14a915c87785
155acccbbc7b
hex333b8cc199

220042412441 has 2 divisors, whose sum is σ = 220042412442. Its totient is φ = 220042412440.

The previous prime is 220042412363. The next prime is 220042412459. The reversal of 220042412441 is 144214240022.

It is a happy number.

220042412441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 127160707216 + 92881705225 = 356596^2 + 304765^2 .

It is a cyclic number.

It is not a de Polignac number, because 220042412441 - 222 = 220038218137 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 220042412441.

It is not a weakly prime, because it can be changed into another prime (220042462441) 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, 110021206220 + 110021206221.

It is an arithmetic number, because the mean of its divisors is an integer number (110021206221).

Almost surely, 2220042412441 is an apocalyptic number.

It is an amenable number.

220042412441 is a deficient number, since it is larger than the sum of its proper divisors (1).

220042412441 is an equidigital number, since it uses as much as digits as its factorization.

220042412441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4096, while the sum is 26.

Adding to 220042412441 its reverse (144214240022), we get a palindrome (364256652463).

The spelling of 220042412441 in words is "two hundred twenty billion, forty-two million, four hundred twelve thousand, four hundred forty-one".