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2220221211217 is a prime number
BaseRepresentation
bin100000010011101111011…
…111110010001001010001
321212020210000220111110021
4200103233133302021101
5242334003112224332
64415542221503441
7316256102625442
oct40235737621121
97766700814407
102220221211217
11786654aa1299
122ba363711b81
1313149b030c89
147966039b2c9
153cb46816c97
hex204ef7f2251

2220221211217 has 2 divisors, whose sum is σ = 2220221211218. Its totient is φ = 2220221211216.

The previous prime is 2220221211211. The next prime is 2220221211239. The reversal of 2220221211217 is 7121121220222.

2220221211217 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., 1672148989456 + 548072221761 = 1293116^2 + 740319^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2220221211217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2220221211191 and 2220221211200.

It is not a weakly prime, because it can be changed into another prime (2220221211211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110110605608 + 1110110605609.

It is an arithmetic number, because the mean of its divisors is an integer number (1110110605609).

Almost surely, 22220221211217 is an apocalyptic number.

It is an amenable number.

2220221211217 is a deficient number, since it is larger than the sum of its proper divisors (1).

2220221211217 is an equidigital number, since it uses as much as digits as its factorization.

2220221211217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 896, while the sum is 25.

Adding to 2220221211217 its reverse (7121121220222), we get a palindrome (9341342431439).

The spelling of 2220221211217 in words is "two trillion, two hundred twenty billion, two hundred twenty-one million, two hundred eleven thousand, two hundred seventeen".