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99099099099 = 327112131019901
BaseRepresentation
bin101110001001011000…
…1000011111111011011
3100110210101102211112200
41130102301003333123
53110423332132344
6113305301341243
710105524305160
oct1342261037733
9313711384480
1099099099099
1139033948a00
1217258107823
139463c8bca0
144b2154c067
1528a00d1069
hex1712c43fdb

99099099099 has 144 divisors (see below), whose sum is σ = 195585254592. Its totient is φ = 47044800000.

The previous prime is 99099099091. The next prime is 99099099103.

99099099099 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 99099099099 - 23 = 99099099091 is a prime.

It is a super-2 number, since 2×990990990992 (a number of 23 digits) contains 22 as substring.

99099099099 is a modest number, since divided by 99099099 gives 99 as remainder.

It is not an unprimeable number, because it can be changed into a prime (99099099091) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10004049 + ... + 10013949.

Almost surely, 299099099099 is an apocalyptic number.

99099099099 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

99099099099 is a deficient number, since it is larger than the sum of its proper divisors (96486155493).

99099099099 is a wasteful number, since it uses less digits than its factorization.

99099099099 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10050 (or 10036 counting only the distinct ones).

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

The spelling of 99099099099 in words is "ninety-nine billion, ninety-nine million, ninety-nine thousand, ninety-nine".

Divisors: 1 3 7 9 11 13 21 33 39 63 77 91 99 101 117 121 143 231 273 303 363 429 693 707 819 847 909 1001 1089 1111 1287 1313 1573 2121 2541 3003 3333 3939 4719 6363 7623 7777 9009 9191 9901 9999 11011 11817 12221 14157 14443 23331 27573 29703 33033 36663 43329 69307 69993 82719 85547 89109 99099 101101 108911 109989 128713 129987 158873 207921 256641 303303 326733 386139 476619 623763 762377 769923 900991 909909 980199 1000001 1112111 1158417 1198021 1415843 1429857 2287131 2702973 3000003 3336333 3594063 4247529 6861393 7000007 8108919 8386147 9000009 9910901 10008999 10782189 11000011 12742587 13000013 15574273 21000021 25158441 29732703 33000033 39000039 46722819 63000063 75475323 77000077 89198109 91000091 99000099 109019911 117000117 121000121 140168457 143000143 231000231 273000273 327059733 363000363 429000429 693000693 819000819 847000847 981179199 1001001001 1089001089 1287001287 1573001573 2541002541 3003003003 4719004719 7623007623 9009009009 11011011011 14157014157 33033033033 99099099099