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220420356217 is a prime number
BaseRepresentation
bin1100110101001000010…
…0111011100001111001
3210001221110210021001221
43031102010323201321
512102410102344332
6245132033112041
721632136054145
oct3152204734171
9701843707057
10220420356217
11855305aa056
12368763b8621
1317a29b149a9
14a95014a225
155b01075297
hex335213b879

220420356217 has 2 divisors, whose sum is σ = 220420356218. Its totient is φ = 220420356216.

The previous prime is 220420356197. The next prime is 220420356223. The reversal of 220420356217 is 712653024022.

220420356217 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., 179721732096 + 40698624121 = 423936^2 + 201739^2 .

It is a cyclic number.

It is not a de Polignac number, because 220420356217 - 231 = 218272872569 is a prime.

It is not a weakly prime, because it can be changed into another prime (220420356257) 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, 110210178108 + 110210178109.

It is an arithmetic number, because the mean of its divisors is an integer number (110210178109).

Almost surely, 2220420356217 is an apocalyptic number.

It is an amenable number.

220420356217 is a deficient number, since it is larger than the sum of its proper divisors (1).

220420356217 is an equidigital number, since it uses as much as digits as its factorization.

220420356217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40320, while the sum is 34.

The spelling of 220420356217 in words is "two hundred twenty billion, four hundred twenty million, three hundred fifty-six thousand, two hundred seventeen".