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3320123233230 = 2325792999155707
BaseRepresentation
bin110000010100000110110…
…001000001001111001110
3102202101211002121110122200
4300110012301001033032
5413344103021430410
611021124335222330
7461604514562046
oct60240661011716
912671732543580
103320123233230
111070069011a41
124575666779a6
131b1117722bbb
14b69a283c726
155b56d8b23c0
hex30506c413ce

3320123233230 has 96 divisors (see below), whose sum is σ = 8744561280000. Its totient is φ = 873861932736.

The previous prime is 3320123233157. The next prime is 3320123233241. The reversal of 3320123233230 is 323323210233.

3320123233230 is a `hidden beast` number, since 3 + 3 + 2 + 0 + 12 + 323 + 323 + 0 = 666.

It is a super-2 number, since 2×33201232332302 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3320123233194 and 3320123233203.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 21245037 + ... + 21400743.

It is an arithmetic number, because the mean of its divisors is an integer number (91089180000).

Almost surely, 23320123233230 is an apocalyptic number.

3320123233230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3320123233230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4372280640000).

3320123233230 is an abundant number, since it is smaller than the sum of its proper divisors (5424438046770).

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

3320123233230 is a wasteful number, since it uses less digits than its factorization.

3320123233230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158798 (or 158795 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 3320123233230 its reverse (323323210233), we get a palindrome (3643446443463).

It can be divided in two parts, 33201 and 23233230, that added together give a triangular number (23266431 = T6821).

The spelling of 3320123233230 in words is "three trillion, three hundred twenty billion, one hundred twenty-three million, two hundred thirty-three thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 79 90 158 237 395 474 711 790 1185 1422 2370 2999 3555 5998 7110 8997 14995 17994 26991 29990 44985 53982 89970 134955 155707 236921 269910 311414 467121 473842 710763 778535 934242 1184605 1401363 1421526 1557070 2132289 2335605 2369210 2802726 3553815 4264578 4671210 7006815 7107630 10661445 12300853 14013630 21322890 24601706 36902559 61504265 73805118 110707677 123008530 184512795 221415354 369025590 466965293 553538385 933930586 1107076770 1400895879 2334826465 2801791758 4202687637 4669652930 7004479395 8405375274 14008958790 21013438185 36890258147 42026876370 73780516294 110670774441 184451290735 221341548882 332012323323 368902581470 553353872205 664024646646 1106707744410 1660061616615 3320123233230