Base | Representation |
---|---|
bin | 11110101111000100010… |
… | …011010010010001001001 |
3 | 21110220202102210110211200 |
4 | 132233010103102101021 |
5 | 234101111304112413 |
6 | 4254143503414413 |
7 | 305411234414034 |
oct | 36570423222111 |
9 | 7426672713750 |
10 | 2112122332233 |
11 | 744822aa2581 |
12 | 2a14155b4409 |
13 | 12423166ac64 |
14 | 7432789401b |
15 | 39e1b59e573 |
hex | 1ebc44d2449 |
2112122332233 has 12 divisors (see below), whose sum is σ = 3051478891188. Its totient is φ = 1407788236800.
The previous prime is 2112122332231. The next prime is 2112122332237. The reversal of 2112122332233 is 3322332212112.
2112122332233 is a `hidden beast` number, since 2 + 112 + 1 + 223 + 322 + 3 + 3 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 950648400144 + 1161473932089 = 975012^2 + 1077717^2 .
It is not a de Polignac number, because 2112122332233 - 21 = 2112122332231 is a prime.
It is a super-2 number, since 2×21121223322332 (a number of 25 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 2112122332197 and 2112122332206.
It is not an unprimeable number, because it can be changed into a prime (2112122332231) 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 in 11 ways as a sum of consecutive naturals, for example, 24397560 + ... + 24483977.
It is an arithmetic number, because the mean of its divisors is an integer number (254289907599).
Almost surely, 22112122332233 is an apocalyptic number.
It is an amenable number.
2112122332233 is a deficient number, since it is larger than the sum of its proper divisors (939356558955).
2112122332233 is a wasteful number, since it uses less digits than its factorization.
2112122332233 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 48886344 (or 48886341 counting only the distinct ones).
The product of its digits is 5184, while the sum is 27.
Adding to 2112122332233 its reverse (3322332212112), we get a palindrome (5434454544345).
The spelling of 2112122332233 in words is "two trillion, one hundred twelve billion, one hundred twenty-two million, three hundred thirty-two thousand, two hundred thirty-three".
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