# Base Equation

$$\overline{BBB}_{10}=1110_B$$, where $$B$$ is an integer. Find the average of the sum of all values of $$B$$.

Details and Clarifications

• If $$B=7$$, then $$\overline{BBB}$$ would equal 777.
• Also, if $$B=12$$, (or anything for $$B>9$$) $$\overline{BBB}=12+12*10+12*100$$
• Bases can be negative. If confused, read negative integer number base.
×