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2212110221 is a prime number
BaseRepresentation
bin1000001111011010…
…0001111110001101
312201011110211202012
42003312201332031
514012300011341
61003301111005
7105550424636
oct20366417615
95634424665
102212110221
11a35751172
125189b8465
132933b1879
1416db1088d
15ce3100eb
hex83da1f8d

2212110221 has 2 divisors, whose sum is σ = 2212110222. Its totient is φ = 2212110220.

The previous prime is 2212110217. The next prime is 2212110247. The reversal of 2212110221 is 1220112122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1982920900 + 229189321 = 44530^2 + 15139^2 .

It is a cyclic number.

It is not a de Polignac number, because 2212110221 - 22 = 2212110217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2212110196 and 2212110205.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2212110421) 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, 1106055110 + 1106055111.

It is an arithmetic number, because the mean of its divisors is an integer number (1106055111).

Almost surely, 22212110221 is an apocalyptic number.

It is an amenable number.

2212110221 is a deficient number, since it is larger than the sum of its proper divisors (1).

2212110221 is an equidigital number, since it uses as much as digits as its factorization.

2212110221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 2212110221 is about 47033.0758190446. The cubic root of 2212110221 is about 1302.9735131686.

Adding to 2212110221 its reverse (1220112122), we get a palindrome (3432222343).

The spelling of 2212110221 in words is "two billion, two hundred twelve million, one hundred ten thousand, two hundred twenty-one".