<p>Given an integer <code>n</code> (in base <code>10</code>) and a base <code>k</code>, return <em>the <strong>sum</strong> of the digits of </em><code>n</code><em><strong>after</strong> converting </em><code>n</code><em> from base </em><code>10</code><em> to base </em><code>k</code>.</p>
<p>After converting, each digit should be interpreted as a base <code>10</code> number, and the sum should be returned in base <code>10</code>.</p>