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12033023300 = 22521727126119
BaseRepresentation
bin10110011010011100…
…10101110101000100
31011001121020220210122
423031032111311010
5144120423221200
65310005241112
7604122003404
oct131516256504
934047226718
1012033023300
115115367561
1223b9a03198
131199c5793c
14822176804
154a65e5385
hex2cd395d44

12033023300 has 72 divisors (see below), whose sum is σ = 27750723840. Its totient is φ = 4513190400.

The previous prime is 12033023291. The next prime is 12033023309. The reversal of 12033023300 is 332033021.

12033023300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12033023291) and next prime (12033023309).

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (12033023309) 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 23 ways as a sum of consecutive naturals, for example, 447641 + ... + 473759.

It is an arithmetic number, because the mean of its divisors is an integer number (385426720).

Almost surely, 212033023300 is an apocalyptic number.

12033023300 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 12033023300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13875361920).

12033023300 is an abundant number, since it is smaller than the sum of its proper divisors (15717700540).

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

12033023300 is a wasteful number, since it uses less digits than its factorization.

12033023300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26421 (or 26414 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 17.

Adding to 12033023300 its reverse (332033021), we get a palindrome (12365056321).

The spelling of 12033023300 in words is "twelve billion, thirty-three million, twenty-three thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 271 340 425 542 850 1084 1355 1700 2710 4607 5420 6775 9214 13550 18428 23035 26119 27100 46070 52238 92140 104476 115175 130595 230350 261190 444023 460700 522380 652975 888046 1305950 1776092 2220115 2611900 4440230 7078249 8880460 11100575 14156498 22201150 28312996 35391245 44402300 70782490 120330233 141564980 176956225 240660466 353912450 481320932 601651165 707824900 1203302330 2406604660 3008255825 6016511650 12033023300