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2212102021 is a prime number
BaseRepresentation
bin1000001111011001…
…1111111110000101
312201011110102111111
42003312133332011
514012244231041
61003301005021
7105550362013
oct20366377605
95634412444
102212102021
11a35745a98
125189b3771
132933aac0c
1416db0b8b3
15ce30c981
hex83d9ff85

2212102021 has 2 divisors, whose sum is σ = 2212102022. Its totient is φ = 2212102020.

The previous prime is 2212101971. The next prime is 2212102051. The reversal of 2212102021 is 1202012122.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2184160225 + 27941796 = 46735^2 + 5286^2 .

It is a cyclic number.

It is not a de Polignac number, because 2212102021 - 211 = 2212099973 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2212101992 and 2212102010.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2212102051) 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, 1106051010 + 1106051011.

It is an arithmetic number, because the mean of its divisors is an integer number (1106051011).

Almost surely, 22212102021 is an apocalyptic number.

It is an amenable number.

2212102021 is a deficient number, since it is larger than the sum of its proper divisors (1).

2212102021 is an equidigital number, since it uses as much as digits as its factorization.

2212102021 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 13.

The square root of 2212102021 is about 47032.9886462683. The cubic root of 2212102021 is about 1302.9719031831.

Adding to 2212102021 its reverse (1202012122), we get a palindrome (3414114143).

The spelling of 2212102021 in words is "two billion, two hundred twelve million, one hundred two thousand, twenty-one".