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12033200203300 = 22521272413931519
BaseRepresentation
bin1010111100011011001010…
…0111111010011000100100
31120121100210102010011210201
42233012302213322120210
53034122443223001200
641331550441400244
72351240630046103
oct257066247723044
946540712104721
1012033200203300
11391a28489aa51
121424146499084
13693958a94bb3
142d85a506603a
1515d027987c6a
hexaf1b29fa624

12033200203300 has 72 divisors (see below), whose sum is σ = 26426859683840. Its totient is φ = 4755564172800.

The previous prime is 12033200203289. The next prime is 12033200203303. The reversal of 12033200203300 is 330200233021.

It is a happy number.

It is a super-2 number, since 2×120332002033002 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12033200203303) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1094941 + ... + 5026459.

Almost surely, 212033200203300 is an apocalyptic number.

12033200203300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12033200203300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13213429841920).

12033200203300 is an abundant number, since it is smaller than the sum of its proper divisors (14393659480540).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12033200203300 is a wasteful number, since it uses less digits than its factorization.

12033200203300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3931901 (or 3931894 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

Adding to 12033200203300 its reverse (330200233021), we get a palindrome (12363400436321).

The spelling of 12033200203300 in words is "twelve trillion, thirty-three billion, two hundred million, two hundred three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 127 241 254 482 508 635 964 1205 1270 2410 2540 3175 4820 6025 6350 12050 12700 24100 30607 61214 122428 153035 306070 612140 765175 1530350 3060700 3931519 7863038 15726076 19657595 39315190 78630380 98287975 196575950 393151900 499302913 947496079 998605826 1894992158 1997211652 2496514565 3789984316 4737480395 4993029130 9474960790 9986058260 12482572825 18949921580 23687401975 24965145650 47374803950 49930291300 94749607900 120332002033 240664004066 481328008132 601660010165 1203320020330 2406640040660 3008300050825 6016600101650 12033200203300