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12003233300 = 2252532264761
BaseRepresentation
bin10110010110111001…
…01100111000010100
31010222112012102121022
423023130230320110
5144040311431200
65303022540312
7603310541162
oct131334547024
933875172538
1012003233300
1150aa56a923
1223aba37698
131193a27416
1481c220232
154a3bad885
hex2cb72ce14

12003233300 has 36 divisors (see below), whose sum is σ = 26538481116. Its totient is φ = 4710700800.

The previous prime is 12003233279. The next prime is 12003233309. The reversal of 12003233300 is 333230021.

12003233300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 484792324 + 11518440976 = 22018^2 + 107324^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12003233309) 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 11 ways as a sum of consecutive naturals, for example, 1127081 + ... + 1137680.

It is an arithmetic number, because the mean of its divisors is an integer number (737180031).

Almost surely, 212003233300 is an apocalyptic number.

12003233300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12003233300 is an abundant number, since it is smaller than the sum of its proper divisors (14535247816).

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

12003233300 is a wasteful number, since it uses less digits than its factorization.

12003233300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2264828 (or 2264821 counting only the distinct ones).

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

Adding to 12003233300 its reverse (333230021), we get a palindrome (12336463321).

The spelling of 12003233300 in words is "twelve billion, three million, two hundred thirty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 212 265 530 1060 1325 2650 5300 2264761 4529522 9059044 11323805 22647610 45295220 56619025 113238050 120032333 226476100 240064666 480129332 600161665 1200323330 2400646660 3000808325 6001616650 12003233300