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20030032002000 = 2435312149274783
BaseRepresentation
bin1001000110111100110101…
…11100010011101111010000
32121220212000100222021112010
410203132122330103233100
510111133001143031000
6110333400352102520
74135056602565006
oct443363274235720
977825010867463
1020030032002000
1164227639796a9
1222b5b55234a40
13b23a931a2117
144d365ca36a76
1524b0616d1d50
hex12379af13bd0

20030032002000 has 160 divisors (see below), whose sum is σ = 64582373606400. Its totient is φ = 5340882777600.

The previous prime is 20030032001977. The next prime is 20030032002077. The reversal of 20030032002000 is 20023003002.

It is a super-2 number, since 2×200300320020002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 72756609 + ... + 73031391.

It is an arithmetic number, because the mean of its divisors is an integer number (403639835040).

Almost surely, 220030032002000 is an apocalyptic number.

20030032002000 is a gapful number since it is divisible by the number (20) 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 20030032002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32291186803200).

20030032002000 is an abundant number, since it is smaller than the sum of its proper divisors (44552341604400).

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

20030032002000 is a wasteful number, since it uses less digits than its factorization.

20030032002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286958 (or 286942 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

Adding to 20030032002000 its reverse (20023003002), we get a palindrome (20050055005002).

The spelling of 20030032002000 in words is "twenty trillion, thirty billion, thirty-two million, two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 12149 24298 36447 48596 60745 72894 97192 121490 145788 182235 194384 242980 274783 291576 303725 364470 485960 549566 583152 607450 728940 824349 911175 971920 1099132 1214900 1373915 1457880 1518625 1648698 1822350 2198264 2429800 2747830 2915760 3037250 3297396 3644700 4121745 4396528 4555875 4859600 5495660 6074500 6594792 6869575 7289400 8243490 9111750 10991320 12149000 13189584 13739150 14578800 16486980 18223500 20608725 21982640 24298000 27478300 32973960 34347875 36447000 41217450 54956600 65947920 68695750 72894000 82434900 103043625 109913200 137391500 164869800 206087250 274783000 329739600 412174500 549566000 824349000 1648698000 3338338667 6676677334 10015016001 13353354668 16691693335 20030032002 26706709336 33383386670 40060064004 50075080005 53413418672 66766773340 80120128008 83458466675 100150160010 133533546680 160240256016 166916933350 200300320020 250375400025 267067093360 333833866700 400600640040 417292333375 500750800050 667667733400 801201280080 834584666750 1001501600100 1251877000125 1335335466800 1669169333500 2003003200200 2503754000250 3338338667000 4006006400400 5007508000500 6676677334000 10015016001000 20030032002000