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48 changes: 48 additions & 0 deletions maths/special_numbers/spy_number.py
Original file line number Diff line number Diff line change
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"""
== Spy Number ==
spy number is defined as a positive integer where the
sum of its digits equals the product of its digits.

Examples of Spy Numbers: 22,123,1124,...
https://www.scribd.com/document/895653665/Interesting-Number-Programs
"""


def is_spy_number(number: int) -> bool:
"""
This functions takes an integer number as input.
returns True if the number is spy.
>>> is_spy_number(-1)
False
>>> is_spy_number(0)
False
>>> is_spy_number(22)
True
>>> is_spy_number(1124)
True
>>> is_spy_number(124)
False
>>> is_spy_number(5.0)
Traceback (most recent call last):
...
TypeError: Input value of [number=5.0] must be an integer
"""
if not isinstance(number, int):
msg = f"Input value of [number={number}] must be an integer"
raise TypeError(msg)
if number <= 0:
return False
digit_sum = 0
digit_mul = 1
while number > 0:
digit = number % 10
digit_sum += digit
digit_mul *= digit
number //= 10
return digit_sum == digit_mul


if __name__ == "__main__":
import doctest

doctest.testmod()