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102210012009 = 3273747991541
BaseRepresentation
bin101111100110000110…
…0010000001101101001
3100202211012011120210100
41133030030100031221
53133311230341014
6114542111140013
710245600524130
oct1371414201551
9322735146710
10102210012009
113a38a983906
1217985b14609
13983b638261
144d38786917
1529d3283009
hex17cc310369

102210012009 has 48 divisors (see below), whose sum is σ = 173651512320. Its totient is φ = 56707931520.

The previous prime is 102210012007. The next prime is 102210012031. The reversal of 102210012009 is 900210012201.

It is not a de Polignac number, because 102210012009 - 21 = 102210012007 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102210011982 and 102210012000.

It is not an unprimeable number, because it can be changed into a prime (102210012007) 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, 1070779 + ... + 1162319.

It is an arithmetic number, because the mean of its divisors is an integer number (3617739840).

Almost surely, 2102210012009 is an apocalyptic number.

It is an amenable number.

102210012009 is a deficient number, since it is larger than the sum of its proper divisors (71441500311).

102210012009 is a wasteful number, since it uses less digits than its factorization.

102210012009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92070 (or 92067 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The spelling of 102210012009 in words is "one hundred two billion, two hundred ten million, twelve thousand, nine".

Divisors: 1 3 7 9 21 37 63 111 259 333 479 777 1437 2331 3353 4311 10059 17723 30177 53169 91541 124061 159507 274623 372183 640787 823869 1116549 1922361 3387017 5767083 10161051 23709119 30483153 43848139 71127357 131544417 213382071 306936973 394633251 920810919 1622381143 2762432757 4867143429 11356668001 14601430287 34070004003 102210012009