# What is a RAP Number™?

Taking inspiration from "What is the word™" series, here the numbers conforms to a special rule, I call it a RAP number™. Use the following examples below to find the rule.

RAP number™ NOT RAP number™
12 19
27 78
43 37
110 193
122 364
611 561
5132 5096
4703 7961
25117 25169
810221 71423

This is my first crack at this type of puzzle, so suggestions and edits are welcome.

I don't think the CSV is needed here, but for those who need it, here it is

RAP number™,  NOT RAP number™
12,     19
27,     78
43,     37
110,    193
122,    364
611,    561
5132,   5096
4703,   7961
25117,  25169
810221, 71423


You can differentiate any number into these categories. This "Rule" can be applied to each and every number that ever existed; order does not matter.

NOTE I misprinted last number, it is supposed to be 810221

• A good question :) Both the answers are great. Commented Oct 7, 2016 at 7:50

Does RAP stand for

Some examples:

RAP numbers: 12+21 = 33, 611+116 = 727, 25117 + 71152 = 96269
NONRAP numbers: 19+91 = 110, 193+391 = 584, 5096+6905 = 12001

• That's very good, but unfortunately, it doesn't work for the RAP number 81022 + 22018 = 103040. (It's the only one that doesn't fit, though.) Commented Oct 6, 2016 at 19:37
• @MOehm Oh wow, you're right, I'm not sure how I missed that... my bad. Commented Oct 6, 2016 at 20:02
• @smriti: Maybe, but I think it's more likely that it is just hard for others to see the rule. Authors often misjudge the difficulty of their puzzles. Commented Oct 7, 2016 at 7:20

Possibly a RAP number may be one where the numbers are

Read Alphabetically Progressing and are non-decreasing in order from left-to-right

The description below needs to call the 0 digit the ten(s) digit - if acceptable?

12 = One Two
43 = Four Three
110 = One One Tens
122 = One Two Two
5132 = Five One Three Two
4703 = Four Seven Tens Three
81022 = Eight One Tens Two Two

And all the non-RAP words' digits are not in alphabetical order.

• Whoa, That is one mind blowing answer!!(I wish I can give more than 1 upvote) But unfortunately it is not correct, even I did not notice this..... 27 is also RAP number and 78 is not RAP number, I will add some more examples Commented Sep 21, 2016 at 9:12
• @smriti you may want to consider offering a small bounty for this answer. There is an option of "one of the answers is exemplary, and worthy of an additional bounty", where it is clear that your intentions are to award one of the existing answerers (and not prospective ones). Commented Sep 21, 2016 at 10:36
• @smriti Ahh.. I thought 78 is a RAP number. Commented Sep 21, 2016 at 10:39
• @Matsmath I don't no how to do that, thanks for suggestion, I will look it up, and add(still, I have to wait for 17 hours) Commented Sep 21, 2016 at 10:43
• What if you called 0 ought? Commented Oct 3, 2016 at 20:02