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102011002209 = 357133117863
BaseRepresentation
bin101111100000001010…
…1000101110101100001
3100202022022200211200000
41133000111011311201
53132404304032314
6114510241450213
710240633132464
oct1370025056541
9322268624600
10102011002209
113a2986078a6
121792b340969
13980933988c
144d1a1812db
1529c0a72209
hex17c0545d61

102011002209 has 48 divisors (see below), whose sum is σ = 155435664384. Its totient is φ = 66843176400.

The previous prime is 102011002207. The next prime is 102011002229. The reversal of 102011002209 is 902200110201.

It is not a de Polignac number, because 102011002209 - 21 = 102011002207 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102011002191 and 102011002200.

It is not an unprimeable number, because it can be changed into a prime (102011002207) 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, 5701812 + ... + 5719674.

It is an arithmetic number, because the mean of its divisors is an integer number (3238243008).

Almost surely, 2102011002209 is an apocalyptic number.

It is an amenable number.

102011002209 is a deficient number, since it is larger than the sum of its proper divisors (53424662175).

102011002209 is an equidigital number, since it uses as much as digits as its factorization.

102011002209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18280 (or 18268 counting only the distinct ones).

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

The spelling of 102011002209 in words is "one hundred two billion, eleven million, two thousand, two hundred nine".

Divisors: 1 3 9 27 71 81 213 243 331 639 993 1917 2979 5751 8937 17253 17863 23501 26811 53589 70503 80433 160767 211509 482301 634527 1268273 1446903 1903581 3804819 4340709 5710743 5912653 11414457 17737959 34243371 53213877 102730113 159641631 308190339 419798363 478924893 1259395089 1436774679 3778185267 11334555801 34003667403 102011002209