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12035042030205 = 35535350775527
BaseRepresentation
bin1010111100100010000001…
…1001111011001001111101
31120121112112202211200100000
42233020200121323021331
53034140231224431310
641332453314224513
72351334363240615
oct257104031731175
946545482750300
1012035042030205
11392003a522847
12142457b285139
13693b9053b1bc
142d86db909a45
1515d0d45044c0
hexaf22067b27d

12035042030205 has 96 divisors (see below), whose sum is σ = 21702842913024. Its totient is φ = 6398087325696.

The previous prime is 12035042030189. The next prime is 12035042030227. The reversal of 12035042030205 is 50203024053021.

It is a happy number.

12035042030205 is a `hidden beast` number, since 1 + 2 + 0 + 3 + 5 + 0 + 420 + 30 + 205 = 666.

It is not a de Polignac number, because 12035042030205 - 24 = 12035042030189 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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, 2177497152 + ... + 2177502678.

It is an arithmetic number, because the mean of its divisors is an integer number (226071280344).

Almost surely, 212035042030205 is an apocalyptic number.

12035042030205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12035042030205 is a deficient number, since it is larger than the sum of its proper divisors (9667800882819).

12035042030205 is an equidigital number, since it uses as much as digits as its factorization.

12035042030205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10977 (or 10965 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 12035042030205 its reverse (50203024053021), we get a palindrome (62238066083226).

The spelling of 12035042030205 in words is "twelve trillion, thirty-five billion, forty-two million, thirty thousand, two hundred five".

Divisors: 1 3 5 9 15 27 45 81 135 243 353 405 1059 1215 1765 3177 5077 5295 5527 9531 15231 15885 16581 25385 27635 28593 45693 47655 49743 76155 82905 85779 137079 142965 149229 228465 248715 411237 428895 447687 685395 746145 1233711 1343061 1792181 1951031 2056185 2238435 5376543 5853093 6168555 6715305 8960905 9755155 16129629 17559279 26882715 28060579 29265465 48388887 52677837 80648145 84181737 87796395 140302895 145166661 158033511 241944435 252545211 263389185 420908685 435499983 474100533 725833305 757635633 790167555 1262726055 2177499915 2272906899 2370502665 3788178165 6818720697 9905384387 11364534495 29716153161 34093603485 49526921935 89148459483 148580765805 267445378449 445742297415 802336135347 1337226892245 2407008406041 4011680676735 12035042030205