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12005353000335 = 3546711483149249
BaseRepresentation
bin1010111010110011011011…
…0011010000110110001111
31120111200220200200200210010
42232230312303100312033
53033143430332002320
641311103311244303
72346233560531332
oct256546663206617
946450820620703
1012005353000335
113909494876222
12141a874519693
1369113b7151c6
142d70c28cc619
1515c447d54ae0
hexaeb36cd0d8f

12005353000335 has 32 divisors (see below), whose sum is σ = 19251501984000. Its totient is φ = 6388545118208.

The previous prime is 12005353000307. The next prime is 12005353000337. The reversal of 12005353000335 is 53300035350021.

It is a cyclic number.

It is not a de Polignac number, because 12005353000335 - 28 = 12005353000079 is a prime.

It is a super-2 number, since 2×120053530003352 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12005353000337) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80363791 + ... + 80513039.

It is an arithmetic number, because the mean of its divisors is an integer number (601609437000).

Almost surely, 212005353000335 is an apocalyptic number.

12005353000335 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12005353000335 is a deficient number, since it is larger than the sum of its proper divisors (7246148983665).

12005353000335 is a wasteful number, since it uses less digits than its factorization.

12005353000335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161207.

The product of its (nonzero) digits is 20250, while the sum is 30.

Adding to 12005353000335 its reverse (53300035350021), we get a palindrome (65305388350356).

The spelling of 12005353000335 in words is "twelve trillion, five billion, three hundred fifty-three million, three hundred thirty-five", and thus it is an aban number.

Divisors: 1 3 5 15 467 1401 2335 7005 11483 34449 57415 149249 172245 447747 746245 2238735 5362561 16087683 26812805 69699283 80438415 209097849 348496415 1045489245 1713826267 5141478801 8569131335 25707394005 800356866689 2401070600067 4001784333445 12005353000335