## Problem of the Day #155: Sorted Numbers
*August 21, 2011*

*Posted by Alex in : potd , trackback*

A *sorted number* is a positive integer whose digits form a non-decreasing sequence when read from left to right. Let $w(x)$, where $x > 0$, be the $x^{\text{th}}$ smallest *sorted number*. Find $w(1111)$.

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