Bootstrap naming conventions carry styles of their own, col-XS-1 refers to a column being 8.33% of the containing element wide. Your text, would most likely expand far beyond the specified width, and couldn't possible be centered within it. If you wanted it to constrain to the div, you could use something like css word-break.
For centering the content within an element large enough to expand beyond the text, you have two options.
Option 1: HTML Center Tag
<div class="row">
<div class="col-xs-1 center-block">
<center>
<span>aaaaaaaaaaaaaaaaaaaaaaaaaaa</span>
</center>
</div>
</div>
Option 2: CSS Text-Align
<div class="row">
<div class="col-xs-1 center-block" style="text-align:center;">
<span>aaaaaaaaaaaaaaaaaaaaaaaaaaa</span>
</div>
</div>
If you wanted everything to constrain to the width of the column
<div class="row">
<div class="col-xs-1 center-block" style="text-align:center;word-break:break-all;">
<span>aaaaaaaaaaaaaaaaaaaaaaaaaaa</span>
</div>
</div>
UPDATE - Using Bootstrap's text-center class
<div class="row">
<div class="col-xs-1 center-block text-center">
<span>aaaaaaaaaaaaaaaaaaaaaaaaaaa</span>
</div>
</div>
FlexBox Method
<div class="row">
<div class="flexBox" style="
display: flex;
flex-flow: row wrap;
justify-content: center;">
<span>aaaaaaaaaaaaaaaaaaaaaaaaaaa</span>
</div>
</div>