Base | Representation |
---|---|
bin | 101110001001011000… |
… | …0101011110100100100 |
3 | 100110210101020210202001 |
4 | 1130102300223310210 |
5 | 3110423321000400 |
6 | 113305255255044 |
7 | 10105523413432 |
oct | 1342260536444 |
9 | 313711223661 |
10 | 99099000100 |
11 | 39033890591 |
12 | 1725807a484 |
13 | 9463c55bc9 |
14 | 4b21523d52 |
15 | 28a00b1a6a |
hex | 1712c2bd24 |
99099000100 has 36 divisors (see below), whose sum is σ = 222460175700. Its totient is φ = 38272716160.
The previous prime is 99099000067. The next prime is 99099000107. The reversal of 99099000100 is 100099099.
It can be written as a sum of positive squares in 6 ways, for example, as 15069924 + 99083930176 = 3882^2 + 314776^2 .
It is a super-2 number, since 2×990990001002 (a number of 23 digits) contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 99099000100.
It is not an unprimeable number, because it can be changed into a prime (99099000107) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17083135 + ... + 17088934.
It is an arithmetic number, because the mean of its divisors is an integer number (6179449325).
Almost surely, 299099000100 is an apocalyptic number.
It is an amenable number.
99099000100 is an abundant number, since it is smaller than the sum of its proper divisors (123361175600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
99099000100 is a wasteful number, since it uses less digits than its factorization.
99099000100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 34172112 (or 34172105 counting only the distinct ones).
The product of its (nonzero) digits is 6561, while the sum is 37.
Adding to 99099000100 its reverse (100099099), we get a palindrome (99199099199).
The spelling of 99099000100 in words is "ninety-nine billion, ninety-nine million, one hundred", and thus it is an aban number.
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