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Answer: 7 × 1 + 6 × 10 + 5 × 9 + 4 × 12 + 3 × 3 + 2 × 4 + 1 × 1 = 178 mod 13 = 9 Remainder = 9 A recursive method can be derived using the fact that = and that =. This implies that a number is divisible by 13 iff removing the first digit and subtracting 3 times that digit from the new first digit yields a number divisible by 13.
In number theory, reversing the digits of a number n sometimes produces another number m that is divisible by n. This happens trivially when n is a palindromic number; the nontrivial reverse divisors are 1089, 2178, 10989, 21978, 109989, 219978, 1099989, 2199978, ... (sequence A008919 in the OEIS).
Mobile phones use geographic area codes (two digits): after that, all numbers assigned to mobile service have nine digits, starting with 6, 7, 8 or 9 (example: 55 15 99999–9999). 90 is not possible, because collect calls start with this number. [5] xx 7: xx 8: xx 9: British Indian Ocean Territory +246: 380 7 387 British Virgin Islands +1: 284: 10
NPA-911 is forbidden as 9-1-1 is an emergency telephone number. (This is less restrictive than the rules prohibiting all three-digit N-1-1 codes as exchanges in all geographic area codes.) NPA-555 is reserved in every toll-free area code (except 800) for future information or directory assistance applications
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228 is a refactorable number [1] and a practical number. [2] There are 228 matchings in a ladder graph with five rungs. [3] 228 is the smallest even number n such that the numerator of the nth Bernoulli number is divisible by a nontrivial square number that is relatively prime to n. [4] The binary form of 228 contains all the two digit binary ...