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99000000099 = 327112131952579
BaseRepresentation
bin101110000110011011…
…1000001111001100011
3100110112110222002021100
41130030313001321203
53110223000000344
6113251401325443
710103212054620
oct1341467017143
9313473862240
1099000000099
1138a92a12400
121722aa96883
1394495a2620
144b12313347
152896558569
hex170cdc1e63

99000000099 has 144 divisors (see below), whose sum is σ = 203640236800. Its totient is φ = 44973118080.

The previous prime is 99000000083. The next prime is 99000000101.

99000000099 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 99000000099 - 24 = 99000000083 is a prime.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (99000000079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1856592 + ... + 1909170.

Almost surely, 299000000099 is an apocalyptic number.

99000000099 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

99000000099 is an abundant number, since it is smaller than the sum of its proper divisors (104640236701).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

99000000099 is a wasteful number, since it uses less digits than its factorization.

99000000099 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52646 (or 52632 counting only the distinct ones).

The product of its (nonzero) digits is 6561, while the sum is 36.

It can be divided in two parts, 990000000 and 99, that added together give a palindrome (990000099).

The spelling of 99000000099 in words is "ninety-nine billion, ninety-nine", and thus it is an aban number and an uban number.

Divisors: 1 3 7 9 11 13 19 21 33 39 57 63 77 91 99 117 121 133 143 171 209 231 247 273 363 399 429 627 693 741 819 847 1001 1089 1197 1287 1463 1573 1729 1881 2223 2299 2541 2717 3003 4389 4719 5187 6897 7623 8151 9009 11011 13167 14157 15561 16093 19019 20691 24453 29887 33033 48279 52579 57057 89661 99099 144837 157737 171171 209209 268983 368053 473211 578369 627627 683527 999001 1104159 1735107 1882881 2050581 2997003 3312477 4048583 4784689 5205321 6151743 6362059 6993007 7518797 8991009 10989011 12145749 12987013 14354067 19086177 20979021 22556391 32967033 36437247 38961039 43062201 44534413 52631579 57258531 62937063 67669173 76923077 82706767 90909091 98901099 116883117 120879121 133603239 142857143 157894737 230769231 248120301 272727273 362637363 400809717 428571429 473684211 578947369 692307693 744360903 818181819 846153847 1000000001 1087912089 1285714287 1571428573 1736842107 2538461541 3000000003 4714285719 5210526321 7615384623 9000000009 11000000011 14142857157 33000000033 99000000099