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12330302303000 = 2353111969756909
BaseRepresentation
bin1011001101101101111101…
…0010011110101100011000
31121122202122222010121200002
42303123133102132230120
53104004424342144000
642120243534432132
72411556246164513
oct263333722365430
947582588117602
1012330302303000
113a24285221920
121471841362648
136b59864096a6
14308b0b37bd7a
15165b15a1e8d5
hexb36df49eb18

12330302303000 has 128 divisors (see below), whose sum is σ = 31478050094400. Its totient is φ = 4483439872000.

The previous prime is 12330302302999. The next prime is 12330302303023. The reversal of 12330302303000 is 30320303321.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 216638546 + ... + 216695454.

Almost surely, 212330302303000 is an apocalyptic number.

12330302303000 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 12330302303000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15739025047200).

12330302303000 is an abundant number, since it is smaller than the sum of its proper divisors (19147747791400).

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

12330302303000 is a wasteful number, since it uses less digits than its factorization.

12330302303000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76638 (or 76624 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 20.

Adding to 12330302303000 its reverse (30320303321), we get a palindrome (12360622606321).

The spelling of 12330302303000 in words is "twelve trillion, three hundred thirty billion, three hundred two million, three hundred three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 5500 11000 19697 39394 56909 78788 98485 113818 157576 196970 216667 227636 284545 393940 433334 455272 492425 569090 625999 787880 866668 984850 1083335 1138180 1251998 1422725 1733336 1969700 2166670 2276360 2462125 2503996 2845450 3129995 3939400 4333340 4924250 5007992 5416675 5690900 6259990 7113625 8666680 9848500 10833350 11381800 12519980 14227250 15649975 19697000 21666700 25039960 27083375 28454500 31299950 43333400 54166750 56909000 62599900 78249875 108333500 125199800 156499750 216667000 312999500 625999000 1120936573 2241873146 4483746292 5604682865 8967492584 11209365730 12330302303 22418731460 24660604606 28023414325 44837462920 49321209212 56046828650 61651511515 98642418424 112093657300 123303023030 140117071625 224187314600 246606046060 280234143250 308257557575 493212092120 560468286500 616515115150 1120936573000 1233030230300 1541287787875 2466060460600 3082575575750 6165151151500 12330302303000