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221343301217 is a prime number
BaseRepresentation
bin1100111000100100010…
…1101011111001100001
3210011022210110201121002
43032021011223321201
512111302341114332
6245403403041345
721664044005663
oct3161105537141
9704283421532
10221343301217
1185964583315
1236a93510255
1317b460b30ac
14a9da95a533
155b570d5562
hex338916be61

221343301217 has 2 divisors, whose sum is σ = 221343301218. Its totient is φ = 221343301216.

The previous prime is 221343301211. The next prime is 221343301253. The reversal of 221343301217 is 712103343122.

221343301217 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., 220983667921 + 359633296 = 470089^2 + 18964^2 .

It is a cyclic number.

It is not a de Polignac number, because 221343301217 - 212 = 221343297121 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 221343301217.

It is not a weakly prime, because it can be changed into another prime (221343301211) 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, 110671650608 + 110671650609.

It is an arithmetic number, because the mean of its divisors is an integer number (110671650609).

Almost surely, 2221343301217 is an apocalyptic number.

It is an amenable number.

221343301217 is a deficient number, since it is larger than the sum of its proper divisors (1).

221343301217 is an equidigital number, since it uses as much as digits as its factorization.

221343301217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6048, while the sum is 29.

Adding to 221343301217 its reverse (712103343122), we get a palindrome (933446644339).

The spelling of 221343301217 in words is "two hundred twenty-one billion, three hundred forty-three million, three hundred one thousand, two hundred seventeen".