Search a number
-
+
211122022021 is a prime number
BaseRepresentation
bin1100010010011111011…
…0100110011010000101
3202011221110022221110221
43010213312212122011
511424334214201041
6240553233344341
721152541402121
oct3044766463205
9664843287427
10211122022021
1181599971a39
1234b004080b1
1316ba75cabb1
14a30b276581
155759ab82d1
hex3127da6685

211122022021 has 2 divisors, whose sum is σ = 211122022022. Its totient is φ = 211122022020.

The previous prime is 211122021997. The next prime is 211122022043. The reversal of 211122022021 is 120220221112.

It is a happy number.

211122022021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 162320352100 + 48801669921 = 402890^2 + 220911^2 .

It is a cyclic number.

It is not a de Polignac number, because 211122022021 - 211 = 211122019973 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 211122021986 and 211122022004.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211122022121) 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, 105561011010 + 105561011011.

It is an arithmetic number, because the mean of its divisors is an integer number (105561011011).

Almost surely, 2211122022021 is an apocalyptic number.

It is an amenable number.

211122022021 is a deficient number, since it is larger than the sum of its proper divisors (1).

211122022021 is an equidigital number, since it uses as much as digits as its factorization.

211122022021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 211122022021 its reverse (120220221112), we get a palindrome (331342243133).

The spelling of 211122022021 in words is "two hundred eleven billion, one hundred twenty-two million, twenty-two thousand, twenty-one".