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220984838441 is a prime number
BaseRepresentation
bin1100110111001110111…
…0010000100100101001
3210010101210221221002222
43031303232100210221
512110034104312231
6245304040003425
721652132064003
oct3156356204451
9703353857088
10220984838441
11857a01a8994
12369b3460575
1317ab9a55c43
14a9a50c9373
155b358c927b
hex3373b90929

220984838441 has 2 divisors, whose sum is σ = 220984838442. Its totient is φ = 220984838440.

The previous prime is 220984838383. The next prime is 220984838489. The reversal of 220984838441 is 144838489022.

220984838441 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., 142264752400 + 78720086041 = 377180^2 + 280571^2 .

It is a cyclic number.

It is not a de Polignac number, because 220984838441 - 226 = 220917729577 is a prime.

It is not a weakly prime, because it can be changed into another prime (220984838491) 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, 110492419220 + 110492419221.

It is an arithmetic number, because the mean of its divisors is an integer number (110492419221).

Almost surely, 2220984838441 is an apocalyptic number.

It is an amenable number.

220984838441 is a deficient number, since it is larger than the sum of its proper divisors (1).

220984838441 is an equidigital number, since it uses as much as digits as its factorization.

220984838441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3538944, while the sum is 53.

The spelling of 220984838441 in words is "two hundred twenty billion, nine hundred eighty-four million, eight hundred thirty-eight thousand, four hundred forty-one".