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200002300333020 = 2232517446314644909
BaseRepresentation
bin101101011110011010101010…
…000100001100101111011100
3222020011000220012010002020200
4231132122222010030233130
5202203314202341124040
61545211442141343500
760061455306654003
oct5536325204145734
9866130805102220
10200002300333020
11587aa554541619
121a521951867b90
13877a19ca1c793
14375623d33bc3a
15181c7baec9630
hexb5e6aa10cbdc

200002300333020 has 144 divisors (see below), whose sum is σ = 642504303342720. Its totient is φ = 50185405052928.

The previous prime is 200002300333019. The next prime is 200002300333079. The reversal of 200002300333020 is 20333003200002.

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 = 200002300332984 and 200002300333002.

It is a congruent number.

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, 6334326 + ... + 20979234.

It is an arithmetic number, because the mean of its divisors is an integer number (4461835439880).

Almost surely, 2200002300333020 is an apocalyptic number.

200002300333020 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 200002300333020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321252151671360).

200002300333020 is an abundant number, since it is smaller than the sum of its proper divisors (442502003009700).

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

200002300333020 is a wasteful number, since it uses less digits than its factorization.

200002300333020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14649404 (or 14649399 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

Adding to 200002300333020 its reverse (20333003200002), we get a palindrome (220335303533022).

The spelling of 200002300333020 in words is "two hundred trillion, two billion, three hundred million, three hundred thirty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 4463 8926 13389 17852 22315 26778 40167 44630 53556 66945 75871 80334 89260 133890 151742 160668 200835 227613 267780 303484 379355 401670 455226 682839 758710 803340 910452 1138065 1365678 1517420 2276130 2731356 3414195 4552260 6828390 13656780 14644909 29289818 43934727 58579636 73224545 87869454 131804181 146449090 175738908 219673635 248963453 263608362 292898180 439347270 497926906 527216724 659020905 746890359 878694540 995853812 1244817265 1318041810 1493780718 2240671077 2489634530 2636083620 2987561436 3734451795 4481342154 4979269060 7468903590 8962684308 11203355385 14937807180 22406710770 44813421540 65360228867 130720457734 196080686601 261440915468 326801144335 392161373202 588242059803 653602288670 784322746404 980403433005 1111123890739 1176484119606 1307204577340 1960806866010 2222247781478 2352968239212 2941210299015 3333371672217 3921613732020 4444495562956 5555619453695 5882420598030 6666743344434 10000115016651 11111238907390 11764841196060 13333486688868 16666858361085 20000230033302 22222477814780 33333716722170 40000460066604 50000575083255 66667433444340 100001150166510 200002300333020