Base | Representation |
---|---|
bin | 101111011111111011… |
… | …1000001011110001001 |
3 | 100202021202212101022200 |
4 | 1132333313001132021 |
5 | 3132400244320014 |
6 | 114505400510413 |
7 | 10240506133350 |
oct | 1367767013611 |
9 | 322252771280 |
10 | 102003120009 |
11 | 3a29411388a |
12 | 1792877b409 |
13 | 9807809c5b |
14 | 4d190cc997 |
15 | 29c0016a09 |
hex | 17bfdc1789 |
102003120009 has 96 divisors (see below), whose sum is σ = 173224396800. Its totient is φ = 56641406976.
The previous prime is 102003120007. The next prime is 102003120017. The reversal of 102003120009 is 900021300201.
It is a happy number.
It is not a de Polignac number, because 102003120009 - 21 = 102003120007 is a prime.
It is a junction number, because it is equal to n+sod(n) for n = 102003119973 and 102003120000.
It is not an unprimeable number, because it can be changed into a prime (102003120007) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 202789252 + ... + 202789754.
It is an arithmetic number, because the mean of its divisors is an integer number (1804420800).
Almost surely, 2102003120009 is an apocalyptic number.
It is an amenable number.
102003120009 is a deficient number, since it is larger than the sum of its proper divisors (71221276791).
102003120009 is a wasteful number, since it uses less digits than its factorization.
102003120009 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1139 (or 1136 counting only the distinct ones).
The product of its (nonzero) digits is 108, while the sum is 18.
The spelling of 102003120009 in words is "one hundred two billion, three million, one hundred twenty thousand, nine".
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