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12320033000 = 2353111796257
BaseRepresentation
bin10110111100101010…
…01100100011101000
31011210121022112002112
423132111030203220
5200212412024000
65354301021452
7614205360362
oct133625144350
934717275075
1012320033000
115252379160
122479b54888
131214557a72
1484c327d32
154c18da235
hex2de54c8e8

12320033000 has 128 divisors (see below), whose sum is σ = 31630435200. Its totient is φ = 4454272000.

The previous prime is 12320032939. The next prime is 12320033003. The reversal of 12320033000 is 33002321.

12320033000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12320033003) 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 31 ways as a sum of consecutive naturals, for example, 1965872 + ... + 1972128.

It is an arithmetic number, because the mean of its divisors is an integer number (247112775).

Almost surely, 212320033000 is an apocalyptic number.

12320033000 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 12320033000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15815217600).

12320033000 is an abundant number, since it is smaller than the sum of its proper divisors (19310402200).

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

12320033000 is a wasteful number, since it uses less digits than its factorization.

12320033000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6468 (or 6454 counting only the distinct ones).

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

Adding to 12320033000 its reverse (33002321), we get a palindrome (12353035321).

The spelling of 12320033000 in words is "twelve billion, three hundred twenty million, thirty-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 179 200 220 250 275 358 440 500 550 716 895 1000 1100 1375 1432 1790 1969 2200 2750 3580 3938 4475 5500 6257 7160 7876 8950 9845 11000 12514 15752 17900 19690 22375 25028 31285 35800 39380 44750 49225 50056 62570 68827 78760 89500 98450 125140 137654 156425 179000 196900 246125 250280 275308 312850 344135 393800 492250 550616 625700 688270 782125 984500 1120003 1251400 1376540 1564250 1720675 1969000 2240006 2753080 3128500 3441350 4480012 5600015 6257000 6882700 8603375 8960024 11200030 12320033 13765400 17206750 22400060 24640066 28000075 34413500 44800120 49280132 56000150 61600165 68827000 98560264 112000300 123200330 140000375 224000600 246400660 280000750 308000825 492801320 560001500 616001650 1120003000 1232003300 1540004125 2464006600 3080008250 6160016500 12320033000