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Omni-MATH / A …10 over-expansion of a positive integer N is an expression of the form N=d_(k)10^(k)+d_(k−1)10^(k−1)+⋯+d₀10⁰ with d_(k)≠0 and d_(i)∈{0,1,2,…,10} for all i. Which positive intege…

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problem

A \emph{base 1010 over-expansion} of a positive integer NN is an expression of the form N=dk10k+dk−110k−1+⋯+d0100 N = d_k 10^k + d_{k-1} 10^{k-1} + \cdots + d_0 10^0 with dk≠0d_k \neq 0 and di∈{0,1,2,…,10}d_i \in \{0,1,2,\dots,10\} for all ii. Which positive integers have a unique base 10 over-expansion?
Plain-text mathematical notation (without MathML)
A \emph{base 10 over-expansion} of a positive integer N is an expression of the form N=d_(k)10^(k)+d_(k−1)10^(k−1)+⋯+d₀10⁰ with d_(k)≠0 and d_(i)∈{0,1,2,…,10} for all i. Which positive integers have a unique base 10 over-expansion?
Original LaTeX notation
A \emph{base $10$ over-expansion} of a positive integer $N$ is an expression of the form \[ N = d_k 10^k + d_{k-1} 10^{k-1} + \cdots + d_0 10^0 \] with $d_k \neq 0$ and $d_i \in \{0,1,2,\dots,10\}$ for all $i$. Which positive integers have a unique base 10 over-expansion?

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Source and history

task_id
3f53e755-51a5-5976-a12c-c8550ccfebbb
task_key
test--3f53e755-51a5-5976-a12c-c8550ccfebbb
task_revision_id
1
config / split
/ test

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