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.
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