Base | Representation |
---|---|
bin | 10110100010000101001000… |
… | …101100101101000100011011 |
3 | 110222212202211201001012212200 |
4 | 112202011020230231010123 |
5 | 100442114223011132344 |
6 | 550433241355541243 |
7 | 26605444414302600 |
oct | 2642051054550433 |
9 | 428782751035780 |
10 | 99099000099099 |
11 | 29637717061000 |
12 | b14607275a823 |
13 | 433acc3485b00 |
14 | 1a685bab066a7 |
15 | b6cbd45d1069 |
hex | 5a2148b2d11b |
99099000099099 has 432 divisors, whose sum is σ = 208766568067200. Its totient is φ = 45018091198080.
The previous prime is 99099000099091. The next prime is 99099000099107.
99099000099099 is nontrivially palindromic in base 10.
It is an interprime number because it is at equal distance from previous prime (99099000099091) and next prime (99099000099107).
It is not a de Polignac number, because 99099000099099 - 23 = 99099000099091 is a prime.
It is a super-2 number, since 2×990990000990992 (a number of 29 digits) contains 22 as substring.
It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.
It is not an unprimeable number, because it can be changed into a prime (99099000099091) by changing a digit.
It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1884737592 + ... + 1884790170.
It is an arithmetic number, because the mean of its divisors is an integer number (483255944600).
Almost surely, 299099000099099 is an apocalyptic number.
99099000099099 is a gapful number since it is divisible by the number (99) formed by its first and last digit.
99099000099099 is an abundant number, since it is smaller than the sum of its proper divisors (109667567968101).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
99099000099099 is a wasteful number, since it uses less digits than its factorization.
99099000099099 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 52677 (or 52632 counting only the distinct ones).
The product of its (nonzero) digits is 43046721, while the sum is 72.
It can be divided in two parts, 990990000 and 99099, that multiplied together give a square (98206118010000 = 99099002).
The spelling of 99099000099099 in words is "ninety-nine trillion, ninety-nine billion, ninety-nine thousand, ninety-nine".
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