Modify Wordpress function get_pagenum_link - php

Question

is there any possiblity that I can change the following link:
xxx.com/page/2
to
xxx.com/?paged=2
Here the current function:
function get_pagenum_link($pagenum = 1) {
global $wp_rewrite;
$pagenum = (int) $pagenum;
$request = remove_query_arg( 'paged' );
$home_root = parse_url(home_url());
$home_root = ( isset($home_root['path']) ) ? $home_root['path'] : '';
$home_root = preg_quote( trailingslashit( $home_root ), '|' );
$request = preg_replace('|^'. $home_root . '|', '', $request);
$request = preg_replace('|^/+|', '', $request);
if ( !$wp_rewrite->using_permalinks() || is_admin() ) {
$base = trailingslashit( get_bloginfo( 'url' ) );
if ( $pagenum > 1 ) {
$result = add_query_arg( 'paged', $pagenum, $base . $request );
} else {
$result = $base . $request;
}
} else {
$qs_regex = '|\?.*?$|';
preg_match( $qs_regex, $request, $qs_match );
if ( !empty( $qs_match[0] ) ) {
$query_string = $qs_match[0];
$request = preg_replace( $qs_regex, '', $request );
} else {
$query_string = '';
}
$request = preg_replace( "|$wp_rewrite->pagination_base/\d+/?$|", '', $request);
$request = preg_replace( '|^index\.php|', '', $request);
$request = ltrim($request, '/');
$base = trailingslashit( get_bloginfo( 'url' ) );
if ( $wp_rewrite->using_index_permalinks() && ( $pagenum > 1 || '' != $request ) )
$base .= 'index.php/';
if ( $pagenum > 1 ) {
$request = ( ( !empty( $request ) ) ? trailingslashit( $request ) : $request ) . user_trailingslashit( $wp_rewrite->pagination_base . "/" . $pagenum, 'paged' );
}
$result = $base . $request . $query_string;
}
$result = apply_filters('get_pagenum_link', $result);
return $result;
}
from wordpress-includes/link-template.php
How I can modify the function without editing it in the core?
Thanks

Answer 1

From the source, it looks like you should just be able to disable permalinks to get it to page like that.
//start of function code
// ...
if ( !$wp_rewrite->using_permalinks() || is_admin() ) {
$base = trailingslashit( get_bloginfo( 'url' ) );
if ( $pagenum > 1 ) {
$result = add_query_arg( 'paged', $pagenum, $base . $request );
} else {
$result = $base . $request;
}
}
//rest of function code
// ...
Docs for add_query_arg()