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9909999099 = 327113139091
BaseRepresentation
bin10010011101010111…
…01001010111111011
3221120122102010002200
421032223221113323
5130243424432344
64315205401243
7500402413440
oct111653512773
927518363080
109909999099
114225a33000
121b06a09223
13c1c167cc0
146a02159c7
153d0031069
hex24eae95fb

9909999099 has 96 divisors (see below), whose sum is σ = 19380361728. Its totient is φ = 4751524800.

The previous prime is 9909999067. The next prime is 9909999109.

9909999099 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 9909999099 - 25 = 9909999067 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9909999019) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1085544 + ... + 1094634.

It is an arithmetic number, because the mean of its divisors is an integer number (201878768).

Almost surely, 29909999099 is an apocalyptic number.

9909999099 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

9909999099 is a deficient number, since it is larger than the sum of its proper divisors (9470362629).

9909999099 is a wasteful number, since it uses less digits than its factorization.

9909999099 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9150 (or 9125 counting only the distinct ones).

The product of its (nonzero) digits is 43046721, while the sum is 72.

The square root of 9909999099 is about 99548.9783925481. The cubic root of 9909999099 is about 2147.9518334184.

The spelling of 9909999099 in words is "nine billion, nine hundred nine million, nine hundred ninety-nine thousand, ninety-nine".

Divisors: 1 3 7 9 11 13 21 33 39 63 77 91 99 117 121 143 231 273 363 429 693 819 847 1001 1089 1287 1331 1573 2541 3003 3993 4719 7623 9009 9091 9317 11011 11979 14157 17303 27273 27951 33033 51909 63637 81819 83853 99099 100001 118183 121121 155727 190911 300003 354549 363363 572733 700007 827281 900009 1063647 1090089 1100011 1300013 2100021 2481843 3300033 3900039 6300063 7445529 7700077 9100091 9900099 11700117 12100121 14300143 23100231 27300273 36300363 42900429 69300693 81900819 84700847 100101001 108901089 128701287 157301573 254102541 300303003 471904719 762307623 900909009 1101111011 1415714157 3303333033 9909999099