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12302340221000 = 2353331367101273
BaseRepresentation
bin1011001100000101110010…
…0111100110100001001000
31121120002111020112200020102
42303001130213212201020
53103030143044033000
642055341142144532
72406546313334534
oct263013447464110
947502436480212
1012302340221000
113a13436373845
121468338a22148
136b314b30693b
1430761785cbc4
1516502ac983d5
hexb305c9e6848

12302340221000 has 128 divisors (see below), whose sum is σ = 28953410204160. Its totient is φ = 4892652864000.

The previous prime is 12302340220999. The next prime is 12302340221021. The reversal of 12302340221000 is 12204320321.

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 (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121426364 + ... + 121527636.

It is an arithmetic number, because the mean of its divisors is an integer number (226198517220).

Almost surely, 212302340221000 is an apocalyptic number.

12302340221000 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 12302340221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14476705102080).

12302340221000 is an abundant number, since it is smaller than the sum of its proper divisors (16651069983160).

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

12302340221000 is a wasteful number, since it uses less digits than its factorization.

12302340221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101992 (or 101978 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 12302340221000 its reverse (12204320321), we get a palindrome (12314544541321).

The spelling of 12302340221000 in words is "twelve trillion, three hundred two billion, three hundred forty million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 331 367 500 662 734 1000 1324 1468 1655 1835 2648 2936 3310 3670 6620 7340 8275 9175 13240 14680 16550 18350 33100 36700 41375 45875 66200 73400 82750 91750 101273 121477 165500 183500 202546 242954 331000 367000 405092 485908 506365 607385 810184 971816 1012730 1214770 2025460 2429540 2531825 3036925 4050920 4859080 5063650 6073850 10127300 12147700 12659125 15184625 20254600 24295400 25318250 30369250 33521363 37167191 50636500 60738500 67042726 74334382 101273000 121477000 134085452 148668764 167606815 185835955 268170904 297337528 335213630 371671910 670427260 743343820 838034075 929179775 1340854520 1486687640 1676068150 1858359550 3352136300 3716719100 4190170375 4645898875 6704272600 7433438200 8380340750 9291797750 12302340221 16760681500 18583595500 24604680442 33521363000 37167191000 49209360884 61511701105 98418721768 123023402210 246046804420 307558505525 492093608840 615117011050 1230234022100 1537792527625 2460468044200 3075585055250 6151170110500 12302340221000