Search a number
-
+
211122212022041 is a prime number
BaseRepresentation
bin110000000000001110111000…
…011100111010011100011001
31000200112002022221202201011112
4300000032320130322130121
5210133011242234201131
62025004112200510105
762320035140533325
oct6000167034723431
91020462287681145
10211122212022041
11612a7477818271
121b818a9577b335
1390a597bc4a978
143a1c5261cc985
151961b8e9e302b
hexc003b873a719

211122212022041 has 2 divisors, whose sum is σ = 211122212022042. Its totient is φ = 211122212022040.

The previous prime is 211122212021957. The next prime is 211122212022133. The reversal of 211122212022041 is 140220212221112.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 131330797801225 + 79791414220816 = 11459965^2 + 8932604^2 .

It is a cyclic number.

It is not a de Polignac number, because 211122212022041 - 222 = 211122207827737 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 211122212021998 and 211122212022016.

It is not a weakly prime, because it can be changed into another prime (211122212822041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105561106011020 + 105561106011021.

It is an arithmetic number, because the mean of its divisors is an integer number (105561106011021).

Almost surely, 2211122212022041 is an apocalyptic number.

It is an amenable number.

211122212022041 is a deficient number, since it is larger than the sum of its proper divisors (1).

211122212022041 is an equidigital number, since it uses as much as digits as its factorization.

211122212022041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 512, while the sum is 23.

Adding to 211122212022041 its reverse (140220212221112), we get a palindrome (351342424243153).

The spelling of 211122212022041 in words is "two hundred eleven trillion, one hundred twenty-two billion, two hundred twelve million, twenty-two thousand, forty-one".