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12031320023300 = 2252421653437641
BaseRepresentation
bin1010111100010100001010…
…0011100110000100000100
31120121011221101020010201102
42233011002203212010010
53034110120411221200
641331040114515232
72351143216555544
oct257050243460404
946534841203642
1012031320023300
1139194aa551986
121423900895b18
136937193b0856
142d846747b324
1515ce678926d5
hexaf1428e6104

12031320023300 has 72 divisors (see below), whose sum is σ = 26210115044232. Its totient is φ = 4793733504000.

The previous prime is 12031320023297. The next prime is 12031320023323. The reversal of 12031320023300 is 332002313021.

It can be written as a sum of positive squares in 12 ways, for example, as 9988027027456 + 2043292995844 = 3160384^2 + 1429438^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 23 ways as a sum of consecutive naturals, for example, 27272480 + ... + 27710120.

Almost surely, 212031320023300 is an apocalyptic number.

12031320023300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12031320023300 is an abundant number, since it is smaller than the sum of its proper divisors (14178795020932).

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

12031320023300 is a wasteful number, since it uses less digits than its factorization.

12031320023300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438729 (or 438722 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 12031320023300 its reverse (332002313021), we get a palindrome (12363322336321).

The spelling of 12031320023300 in words is "twelve trillion, thirty-one billion, three hundred twenty million, twenty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 421 653 842 1306 1684 2105 2612 3265 4210 6530 8420 10525 13060 16325 21050 32650 42100 65300 274913 437641 549826 875282 1099652 1374565 1750564 2188205 2749130 4376410 5498260 6872825 8752820 10941025 13745650 21882050 27491300 43764100 184246861 285779573 368493722 571559146 736987444 921234305 1143118292 1428897865 1842468610 2857795730 3684937220 4606171525 5715591460 7144489325 9212343050 14288978650 18424686100 28577957300 120313200233 240626400466 481252800932 601566001165 1203132002330 2406264004660 3007830005825 6015660011650 12031320023300