Order by sum of digits X35790

Statement

Write a function @sum_of_digits_sorted(f)@ that provided a list of non negative integers $f$ returns a list $g$ with the very same numbers in $f$ . Numbers in $g$ must appear in increasing sum of digits. For instance, if $56$ and $2131$ are numbers in $f$ , number $2131$ will appear before $56$ in $g$ because the sum of digits of $2131$ (sum is 7) is less the sum of digits of $56$ (sum is 11). Numbers of the same sum of digits must appear in the usual increasing order.

Sample session

>>> sum_of_digits_sorted([56, 2131])
[2131, 56]
>>> sum_of_digits_sorted([313, 44, 36, 11111, 35, 26, 7])
[11111, 7, 313, 26, 35, 44, 36]
>>> sum_of_digits_sorted([9, 53, 511, 4000, 10001, 45])
[10001, 4000, 511, 53, 9, 45]

Information

Author: ProAl
Language: English
Official solutions: Python
User solutions: Python