Base | Representation |
---|---|
bin | 1101101001001101001001… |
… | …11010011000011000100000 |
3 | 10221020021021112222022122100 |
4 | 12310212210322120120200 |
5 | 12413032334003031313 |
6 | 143451123500410400 |
7 | 6214440055303524 |
oct | 664464472303040 |
9 | 127207245868570 |
10 | 30003113330208 |
11 | 9618281328127 |
12 | 3446979b46a00 |
13 | 1398387453885 |
14 | 75a230a53d84 |
15 | 3706b32a7173 |
hex | 1b49a4e98620 |
30003113330208 has 144 divisors (see below), whose sum is σ = 90391641500160. Its totient is φ = 9407387547648.
The previous prime is 30003113330171. The next prime is 30003113330209. The reversal of 30003113330208 is 80203331130003.
30003113330208 is a `hidden beast` number, since 300 + 0 + 3 + 1 + 1 + 3 + 330 + 20 + 8 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is not an unprimeable number, because it can be changed into a prime (30003113330209) 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 23 ways as a sum of consecutive naturals, for example, 6870141 + ... + 10353987.
It is an arithmetic number, because the mean of its divisors is an integer number (627719732640).
Almost surely, 230003113330208 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 30003113330208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45195820750080).
30003113330208 is an abundant number, since it is smaller than the sum of its proper divisors (60388528169952).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
30003113330208 is a wasteful number, since it uses less digits than its factorization.
30003113330208 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3485639 (or 3485628 counting only the distinct ones).
The product of its (nonzero) digits is 3888, while the sum is 27.
The spelling of 30003113330208 in words is "thirty trillion, three billion, one hundred thirteen million, three hundred thirty thousand, two hundred eight".
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