Digit Sum Sequence

Let x₁ = 1 and x_i = x_i-1 + sum_of_digits(x_i-1) for i > 1.

You are given that x₁₀ = 62, x₁₀₀ = 1205 and x₁₀₀₀₀₀ = 2609882.

Find x_10¹⁷.

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