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3323130030 = 23351110710457
BaseRepresentation
bin1100011000010010…
…1111000010101110
322120121001111102000
43012010233002232
523301210130110
61305430113130
7145231065513
oct30604570256
98517044360
103323130030
111455902860
12788aab7a6
1340c62033c
142374bb30a
15146b211c0
hexc612f0ae

3323130030 has 128 divisors (see below), whose sum is σ = 9758568960. Its totient is φ = 798001920.

The previous prime is 3323129947. The next prime is 3323130049. The reversal of 3323130030 is 300313233.

3323130030 is a `hidden beast` number, since 332 + 3 + 1 + 300 + 30 = 666.

It is a super-2 number, since 2×33231300302 = 22086386392575601800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3323129985 and 3323130012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 312562 + ... + 323018.

It is an arithmetic number, because the mean of its divisors is an integer number (76238820).

Almost surely, 23323130030 is an apocalyptic number.

3323130030 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 3323130030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4879284480).

3323130030 is an abundant number, since it is smaller than the sum of its proper divisors (6435438930).

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

3323130030 is a wasteful number, since it uses less digits than its factorization.

3323130030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10591 (or 10585 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

The square root of 3323130030 is about 57646.5959966415. The cubic root of 3323130030 is about 1492.2758533114.

Adding to 3323130030 its reverse (300313233), we get a palindrome (3623443263).

The spelling of 3323130030 in words is "three billion, three hundred twenty-three million, one hundred thirty thousand, thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 107 110 135 165 198 214 270 297 321 330 495 535 594 642 963 990 1070 1177 1485 1605 1926 2354 2889 2970 3210 3531 4815 5778 5885 7062 9630 10457 10593 11770 14445 17655 20914 21186 28890 31371 31779 35310 52285 52965 62742 63558 94113 104570 105930 115027 156855 158895 188226 230054 282339 313710 317790 345081 470565 564678 575135 690162 941130 1035243 1118899 1150270 1411695 1725405 2070486 2237798 2823390 3105729 3356697 3450810 5176215 5594495 6211458 6713394 10070091 10352430 11188990 12307889 15528645 16783485 20140182 24615778 30210273 31057290 33566970 36923667 50350455 60420546 61539445 73847334 100700910 110771001 123078890 151051365 184618335 221542002 302102730 332313003 369236670 553855005 664626006 1107710010 1661565015 3323130030