Dreaming of ( massive parallel ) computing power

Or: Numbers divisible by seventeen (17)

I am looking at properties of decimal numbers consisting of only 1s and 0s. Here is a sample of them which are divisible by 17.

$$\begin{array}{l} 100000001100000000001000100000100000010010 \\ 100000001000001000000100110000000000100010 \\ 1000000000010001000000010000000100000100000010010 \\ 1000000000010001000001000000100100000001000000010 \\ 10000001001000000010000000110000000000100010 \\ 10000001001100000000001000100000001000000010 \end{array}$$

Again, these are just ordinary decimal numbers consisting of only ones and zeros. They are all divisible by seventeen (17). Divided by 17 they are:

$$\begin{array}{l} 5882353005882352941235300000005882353530 \\ 5882353000000058823535300588235294123530 \\ 58823529412353000000000588235300000005882353530 \\ 58823529412353000000058823535300000000058823530 \\ 588235353000000000588235300588235294123530 \\ 588235353005882352941235300000000058823530 \end{array}$$

I really wonder where this track might bring me. Do I ( we ) have control over it, or is there some invisible hand leading us?

I do most of my calculations on computers a geek would frown at today but were dreaming of only five years ago. What is computing power? - Since I am not a gamer I thought that I never needed a high-end PC. Now, I think I need a whole wall of them. Serious. It's kind of crazy, isn't it. More of this madness in future posts, I promise.