Number theory · Digit sums · Powers of ten · Decimal representation · Repunits
The value of the expression \(10^{2016} - 10^{15}\) is a natural number. What is the sum of the digits of that number?
- A \(1\)
- B \(17\)
- C \(2001\)
- D \(18\,000\)
- E \(18\,009\)
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Slovenian High School Mathematics Competition for Vega Awards (MaSSA), drzavno (national) round 2016, 1. letnik, category A, problem A2. Organized by DMFA Slovenije (Society of Mathematicians, Physicists and Astronomers of Slovenia). Source