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211322343223112 = 23112218308205809
BaseRepresentation
bin110000000011001001010001…
…001100110110111101001000
31000201020012220102221002200212
4300003021101030312331020
5210144301124331114422
62025240051055020252
762340351443632622
oct6003112114667510
91021205812832625
10211322343223112
1161374336650800
121b84b82920a688
1390bb7c44b61c4
143a280ad8a3c12
151966ea47319e2
hexc03251336f48

211322343223112 has 24 divisors (see below), whose sum is σ = 435524870590950. Its totient is φ = 96055610555520.

The previous prime is 211322343223049. The next prime is 211322343223141.

211322343223112 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 193723361750116 + 17598981472996 = 13918454^2 + 4195114^2 .

It is a super-2 number, since 2×2113223432231122 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 109154101937 + ... + 109154103872.

Almost surely, 2211322343223112 is an apocalyptic number.

211322343223112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

211322343223112 is an abundant number, since it is smaller than the sum of its proper divisors (224202527367838).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211322343223112 is a wasteful number, since it uses less digits than its factorization.

211322343223112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218308205837 (or 218308205822 counting only the distinct ones).

The product of its digits is 20736, while the sum is 32.

The spelling of 211322343223112 in words is "two hundred eleven trillion, three hundred twenty-two billion, three hundred forty-three million, two hundred twenty-three thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 968 218308205809 436616411618 873232823236 1746465646472 2401390263899 4802780527798 9605561055596 19211122111192 26415292902889 52830585805778 105661171611556 211322343223112