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10003111209 = 3271337330103
BaseRepresentation
bin10010101000011101…
…10101110100101001
3221211010121200220100
421110032311310221
5130441244024314
64332333220013
7502613020350
oct112416656451
927733550810
1010003111209
11427354a563
121b32031609
13c35539620
146ac732997
153d82c4c09
hex2543b5d29

10003111209 has 48 divisors (see below), whose sum is σ = 18263994112. Its totient is φ = 5133746304.

The previous prime is 10003111207. The next prime is 10003111249. The reversal of 10003111209 is 90211130001.

10003111209 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10003111209 - 21 = 10003111207 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10003111191 and 10003111200.

It is not an unprimeable number, because it can be changed into a prime (10003111207) 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 47 ways as a sum of consecutive naturals, for example, 134749 + ... + 195354.

Almost surely, 210003111209 is an apocalyptic number.

It is an amenable number.

10003111209 is a deficient number, since it is larger than the sum of its proper divisors (8260882903).

10003111209 is a wasteful number, since it uses less digits than its factorization.

10003111209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330166 (or 330163 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

The spelling of 10003111209 in words is "ten billion, three million, one hundred eleven thousand, two hundred nine".

Divisors: 1 3 7 9 13 21 37 39 63 91 111 117 259 273 333 481 777 819 1443 2331 3367 4329 10101 30303 330103 990309 2310721 2970927 4291339 6932163 12213811 12874017 20796489 30039373 36641433 38622051 85496677 90118119 109924299 158779543 256490031 270354357 476338629 769470093 1111456801 1429015887 3334370403 10003111209