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220001283617 is a prime number
BaseRepresentation
bin1100110011100100011…
…0010010111000100001
3210000212021020011112112
43030321012102320201
512101030312033432
6245022303005105
721615560025143
oct3147106227041
9700767204475
10220001283617
1185335a97665
1236779b99795
131799105613b
14a91061cc93
155ac93957b2
hex3339192e21

220001283617 has 2 divisors, whose sum is σ = 220001283618. Its totient is φ = 220001283616.

The previous prime is 220001283589. The next prime is 220001283721. The reversal of 220001283617 is 716382100022.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 207308106721 + 12693176896 = 455311^2 + 112664^2 .

It is a cyclic number.

It is not a de Polignac number, because 220001283617 - 28 = 220001283361 is a prime.

It is not a weakly prime, because it can be changed into another prime (220001283217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110000641808 + 110000641809.

It is an arithmetic number, because the mean of its divisors is an integer number (110000641809).

Almost surely, 2220001283617 is an apocalyptic number.

It is an amenable number.

220001283617 is a deficient number, since it is larger than the sum of its proper divisors (1).

220001283617 is an equidigital number, since it uses as much as digits as its factorization.

220001283617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8064, while the sum is 32.

Adding to 220001283617 its reverse (716382100022), we get a palindrome (936383383639).

The spelling of 220001283617 in words is "two hundred twenty billion, one million, two hundred eighty-three thousand, six hundred seventeen".