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12033331000 = 2353171993557
BaseRepresentation
bin10110011010011111…
…00000111100111000
31011001121211112212221
423031033200330320
5144121013043000
65310020013424
7604124424445
oct131517407470
934047745787
1012033331000
115115557759
1223b9b31274
13119a034a02
148222169cc
154a665661a
hex2cd3e0f38

12033331000 has 128 divisors (see below), whose sum is σ = 29972592000. Its totient is φ = 4506163200.

The previous prime is 12033330997. The next prime is 12033331007. The reversal of 12033331000 is 13333021.

It is a super-2 number, since 2×120333310002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12033331007) 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, 3381222 + ... + 3384778.

It is an arithmetic number, because the mean of its divisors is an integer number (234160875).

Almost surely, 212033331000 is an apocalyptic number.

12033331000 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 12033331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14986296000).

12033331000 is an abundant number, since it is smaller than the sum of its proper divisors (17939261000).

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

12033331000 is a wasteful number, since it uses less digits than its factorization.

12033331000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3794 (or 3780 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 12033331000 its reverse (13333021), we get a palindrome (12046664021).

The spelling of 12033331000 in words is "twelve billion, thirty-three million, three hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 199 200 250 340 398 425 500 680 796 850 995 1000 1592 1700 1990 2125 3383 3400 3557 3980 4250 4975 6766 7114 7960 8500 9950 13532 14228 16915 17000 17785 19900 24875 27064 28456 33830 35570 39800 49750 60469 67660 71140 84575 88925 99500 120938 135320 142280 169150 177850 199000 241876 302345 338300 355700 422875 444625 483752 604690 676600 707843 711400 845750 889250 1209380 1415686 1511725 1691500 1778500 2418760 2831372 3023450 3383000 3539215 3557000 5662744 6046900 7078430 7558625 12033331 12093800 14156860 15117250 17696075 24066662 28313720 30234500 35392150 48133324 60166655 60469000 70784300 88480375 96266648 120333310 141568600 176960750 240666620 300833275 353921500 481333240 601666550 707843000 1203333100 1504166375 2406666200 3008332750 6016665500 12033331000