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330210210130020 = 2232511431386943929
BaseRepresentation
bin100101100010100110000111…
…0010001101010100001100100
31121022011210021022002101011100
41023011030032101222201210
5321240131002243130040
63130144250520040100
7126360620556613233
oct11305141621524144
91538153238071140
10330210210130020
1196240400068560
1231050b4b303030
13112338c624378c
145b7838bcc4b1a
1528297d3125b30
hex12c530e46a864

330210210130020 has 144 divisors (see below), whose sum is σ = 1095230863883520. Its totient is φ = 79865226739200.

The previous prime is 330210210129997. The next prime is 330210210130121. The reversal of 330210210130020 is 20031012012033.

330210210130020 is a `hidden beast` number, since 3 + 30 + 210 + 2 + 101 + 300 + 20 = 666.

It is a super-2 number, since 2×3302102101300202 (a number of 30 digits) 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 = 330210210129975 and 330210210130002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 192618585 + ... + 194325344.

It is an arithmetic number, because the mean of its divisors is an integer number (7605769888080).

Almost surely, 2330210210130020 is an apocalyptic number.

330210210130020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

330210210130020 is an abundant number, since it is smaller than the sum of its proper divisors (765020653753500).

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

330210210130020 is a wasteful number, since it uses less digits than its factorization.

330210210130020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386944386 (or 386944381 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 330210210130020 its reverse (20031012012033), we get a palindrome (350241222142053).

The spelling of 330210210130020 in words is "three hundred thirty trillion, two hundred ten billion, two hundred ten million, one hundred thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 431 495 660 862 990 1293 1724 1980 2155 2586 3879 4310 4741 5172 6465 7758 8620 9482 12930 14223 15516 18964 19395 23705 25860 28446 38790 42669 47410 56892 71115 77580 85338 94820 142230 170676 213345 284460 426690 853380 386943929 773887858 1160831787 1547775716 1934719645 2321663574 3482495361 3869439290 4256383219 4643327148 5804158935 6964990722 7738878580 8512766438 11608317870 12769149657 13929981444 17025532876 17412476805 21281916095 23216635740 25538299314 34824953610 38307448971 42563832190 51076598628 63845748285 69649907220 76614897942 85127664380 127691496570 153229795884 166772833399 191537244855 255382993140 333545666798 383074489710 500318500197 667091333596 766148979420 833864166995 1000637000394 1500955500591 1667728333990 1834501167389 2001274000788 2501592500985 3001911001182 3335456667980 3669002334778 5003185001970 5503503502167 6003822002364 7338004669556 7504777502955 9172505836945 10006370003940 11007007004334 15009555005910 16510510506501 18345011673890 22014014008668 27517517510835 30019110011820 33021021013002 36690023347780 55035035021670 66042042026004 82552552532505 110070070043340 165105105065010 330210210130020