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12003323000 = 2353116310321
BaseRepresentation
bin10110010110111010…
…00010110001111000
31010222112100222122112
423023131002301320
5144040322314000
65303024511452
7603311363534
oct131335026170
933875328575
1012003323000
1150aa621259
1223aba7b588
131193a591b6
1481c244bc4
154a3bca235
hex2cb742c78

12003323000 has 64 divisors (see below), whose sum is σ = 28114650720. Its totient is φ = 4796736000.

The previous prime is 12003322951. The next prime is 12003323011. The reversal of 12003323000 is 32330021.

12003323000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1157840 + ... + 1168160.

Almost surely, 212003323000 is an apocalyptic number.

12003323000 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 12003323000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14057325360).

12003323000 is an abundant number, since it is smaller than the sum of its proper divisors (16111327720).

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

12003323000 is a wasteful number, since it uses less digits than its factorization.

12003323000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11505 (or 11491 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

Adding to 12003323000 its reverse (32330021), we get a palindrome (12035653021).

The spelling of 12003323000 in words is "twelve billion, three million, three hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1163 2326 4652 5815 9304 10321 11630 20642 23260 29075 41284 46520 51605 58150 82568 103210 116300 145375 206420 232600 258025 290750 412840 516050 581500 1032100 1163000 1290125 2064200 2580250 5160500 10321000 12003323 24006646 48013292 60016615 96026584 120033230 240066460 300083075 480132920 600166150 1200332300 1500415375 2400664600 3000830750 6001661500 12003323000