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33012231330 = 23513438572297
BaseRepresentation
bin11110101111101011…
…101010110010100010
310011012200100002221110
4132233223222302202
51020102112400310
623055434404150
72246034223251
oct365753526242
9104180302843
1033012231330
11130005a9011
126493890656
13316146c9c0
141852516798
15cd32d6d20
hex7afaeaca2

33012231330 has 128 divisors (see below), whose sum is σ = 87448128768. Its totient is φ = 7924396032.

The previous prime is 33012231323. The next prime is 33012231367. The reversal of 33012231330 is 3313221033.

It is a super-3 number, since 3×330122313303 (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33012231297 and 33012231306.

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, 14370742 + ... + 14373038.

It is an arithmetic number, because the mean of its divisors is an integer number (683188506).

Almost surely, 233012231330 is an apocalyptic number.

33012231330 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 33012231330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43724064384).

33012231330 is an abundant number, since it is smaller than the sum of its proper divisors (54435897438).

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

33012231330 is a wasteful number, since it uses less digits than its factorization.

33012231330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3220.

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 33012231330 its reverse (3313221033), we get a palindrome (36325452363).

The spelling of 33012231330 in words is "thirty-three billion, twelve million, two hundred thirty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 43 65 78 86 129 130 195 215 258 390 430 559 645 857 1118 1290 1677 1714 2297 2571 2795 3354 4285 4594 5142 5590 6891 8385 8570 11141 11485 12855 13782 16770 22282 22970 25710 29861 33423 34455 36851 55705 59722 66846 68910 73702 89583 98771 110553 111410 149305 167115 179166 184255 197542 221106 296313 298610 334230 368510 447915 479063 493855 552765 592626 895830 958126 987710 1105530 1284023 1437189 1481565 1968529 2395315 2568046 2874378 2963130 3852069 3937058 4790630 5905587 6420115 7185945 7704138 9842645 11811174 12840230 14371890 19260345 19685290 25590877 29527935 38520690 51181754 59055870 76772631 84646747 127954385 153545262 169293494 253940241 255908770 383863155 423233735 507880482 767726310 846467470 1100407711 1269701205 2200815422 2539402410 3301223133 5502038555 6602446266 11004077110 16506115665 33012231330