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2021122111 is a prime number
BaseRepresentation
bin111100001110111…
…1110000000111111
312012212002122022111
41320131332000333
513114401401421
6532315354451
7101041153201
oct17035760077
95185078274
102021122111
11947963a58
12484a52a27
13262961458
141525d6771
15bc685ee1
hex7877e03f

2021122111 has 2 divisors, whose sum is σ = 2021122112. Its totient is φ = 2021122110.

The previous prime is 2021122109. The next prime is 2021122121. The reversal of 2021122111 is 1112211202.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 2021122111 - 21 = 2021122109 is a prime.

Together with 2021122109, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 2021122091 and 2021122100.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2021122121) 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, 1010561055 + 1010561056.

It is an arithmetic number, because the mean of its divisors is an integer number (1010561056).

Almost surely, 22021122111 is an apocalyptic number.

2021122111 is a deficient number, since it is larger than the sum of its proper divisors (1).

2021122111 is an equidigital number, since it uses as much as digits as its factorization.

2021122111 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 13.

The square root of 2021122111 is about 44956.8916963795. The cubic root of 2021122111 is about 1264.3408921976.

Adding to 2021122111 its reverse (1112211202), we get a palindrome (3133333313).

The spelling of 2021122111 in words is "two billion, twenty-one million, one hundred twenty-two thousand, one hundred eleven".