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102003120009 = 32767107449503
BaseRepresentation
bin101111011111111011…
…1000001011110001001
3100202021202212101022200
41132333313001132021
53132400244320014
6114505400510413
710240506133350
oct1367767013611
9322252771280
10102003120009
113a29411388a
121792877b409
139807809c5b
144d190cc997
1529c0016a09
hex17bfdc1789

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".

Divisors: 1 3 7 9 21 63 67 107 201 321 449 469 503 603 749 963 1347 1407 1509 2247 3143 3521 4041 4221 4527 6741 7169 9429 10563 21507 28287 30083 31689 33701 48043 50183 53821 64521 90249 101103 144129 150549 161463 210581 225847 235907 270747 303309 336301 376747 432387 451647 484389 631743 677541 707721 1008903 1130241 1580929 1895229 2032623 2123163 3026709 3218881 3390723 3606007 4742787 9656643 10818021 14228361 15131749 22532167 24165629 25242049 28969929 32454063 45395247 67596501 72496887 75726147 105922243 136185741 169159403 202789503 217490661 227178441 317766729 507478209 953300187 1522434627 1619097143 4857291429 11333680001 14571874287 34001040003 102003120009