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10443400011 = 33113714093
BaseRepresentation
bin10011011100111100…
…11010001101001011
3222221211002200121000
421232132122031023
5132342002300021
64444142150043
7516540302232
oct115636321513
928854080530
1010443400011
11447a033000
122035582323
13ca5816045
14710dc3b19
15411c95b26
hex26e79a34b

10443400011 has 64 divisors (see below), whose sum is σ = 17261614080. Its totient is φ = 6238663200.

The previous prime is 10443400007. The next prime is 10443400061. The reversal of 10443400011 is 11000434401.

It is not a de Polignac number, because 10443400011 - 22 = 10443400007 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10443400061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2549481 + ... + 2553573.

It is an arithmetic number, because the mean of its divisors is an integer number (269712720).

Almost surely, 210443400011 is an apocalyptic number.

10443400011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10443400011 is a deficient number, since it is larger than the sum of its proper divisors (6818214069).

10443400011 is an equidigital number, since it uses as much as digits as its factorization.

10443400011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4206 (or 4178 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10443400011 its reverse (11000434401), we get a palindrome (21443834412).

The spelling of 10443400011 in words is "ten billion, four hundred forty-three million, four hundred thousand, eleven".

Divisors: 1 3 9 11 27 33 71 99 121 213 297 363 639 781 1089 1331 1917 2343 3267 3993 4093 7029 8591 11979 12279 21087 25773 35937 36837 45023 77319 94501 110511 135069 231957 283503 290603 405207 495253 850509 871809 1215621 1485759 2551527 2615427 3196633 4457277 5447783 7846281 9589899 13371831 16343349 28769697 35162963 49030047 86309091 105488889 147090141 316466667 386792593 949400001 1160377779 3481133337 10443400011