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2021122111193 is a prime number
BaseRepresentation
bin11101011010010100010…
…000111111011011011001
321011012212110211021101122
4131122110100333123121
5231103224230024233
64144253553055025
7266010201326123
oct35322420773331
97135773737348
102021122111193
1170a175817629
12287859857475
1311878b562013
146db73bcc213
15378924ead98
hex1d69443f6d9

2021122111193 has 2 divisors, whose sum is σ = 2021122111194. Its totient is φ = 2021122111192.

The previous prime is 2021122111181. The next prime is 2021122111231. The reversal of 2021122111193 is 3911112211202.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1805725875529 + 215396235664 = 1343773^2 + 464108^2 .

It is a cyclic number.

It is not a de Polignac number, because 2021122111193 - 238 = 1746244204249 is a prime.

It is not a weakly prime, because it can be changed into another prime (2021122110193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1010561055596 + 1010561055597.

It is an arithmetic number, because the mean of its divisors is an integer number (1010561055597).

Almost surely, 22021122111193 is an apocalyptic number.

It is an amenable number.

2021122111193 is a deficient number, since it is larger than the sum of its proper divisors (1).

2021122111193 is an equidigital number, since it uses as much as digits as its factorization.

2021122111193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 26.

Adding to 2021122111193 its reverse (3911112211202), we get a palindrome (5932234322395).

The spelling of 2021122111193 in words is "two trillion, twenty-one billion, one hundred twenty-two million, one hundred eleven thousand, one hundred ninety-three".