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221311223017 is a prime number
BaseRepresentation
bin1100111000011100101…
…1010100010011101001
3210011020120002222120121
43032013023110103221
512111221133114032
6245400255323241
721663204233353
oct3160713242351
9704216088517
10221311223017
1185948463505
1236a84820521
1317b3c561201
14a9d65aa0d3
155b5439aa97
hex33872d44e9

221311223017 has 2 divisors, whose sum is σ = 221311223018. Its totient is φ = 221311223016.

The previous prime is 221311223011. The next prime is 221311223099. The reversal of 221311223017 is 710322113122.

221311223017 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., 219079227481 + 2231995536 = 468059^2 + 47244^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-221311223017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 221311222982 and 221311223000.

It is not a weakly prime, because it can be changed into another prime (221311223011) 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, 110655611508 + 110655611509.

It is an arithmetic number, because the mean of its divisors is an integer number (110655611509).

Almost surely, 2221311223017 is an apocalyptic number.

It is an amenable number.

221311223017 is a deficient number, since it is larger than the sum of its proper divisors (1).

221311223017 is an equidigital number, since it uses as much as digits as its factorization.

221311223017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1008, while the sum is 25.

Adding to 221311223017 its reverse (710322113122), we get a palindrome (931633336139).

The spelling of 221311223017 in words is "two hundred twenty-one billion, three hundred eleven million, two hundred twenty-three thousand, seventeen".