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SMO 2026 Senior Round 1 Question 5

SMO · SMO 2026 Senior Round 1

Question 5

Find the sum of all the digits from $1$ to $10^7$ inclusive. For example, the sum of all the digits from $23$ to $27$ inclusive are $2+3+2+4+2+5+2+6+2+7$.
  1. $10^7$
  2. $270\times10^6+1$
  3. $315\times10^6+1$
  4. $\frac{10^7(10^7+1)}2$
  5. None of the above