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200002021403220 = 223253138114377203
BaseRepresentation
bin101101011110011010011001…
…011100001010101001010100
3222020011000011202020222111100
4231132122121130022221110
5202203313114434400340
61545211354335110100
760061445352051411
oct5536323134125124
9866130152228440
10200002021403220
11587aa421049523
121a521894372330
13877a156cbb26a
143756214291108
15181c7a177d830
hexb5e69970aa54

200002021403220 has 144 divisors (see below), whose sum is σ = 609361634411712. Its totient is φ = 53097911493120.

The previous prime is 200002021403203. The next prime is 200002021403227. The reversal of 200002021403220 is 22304120200002.

200002021403220 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 0 + 20 + 21 + 403 + 220 = 666.

200002021403220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 200002021403193 and 200002021403202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200002021403227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43503139 + ... + 47880341.

It is an arithmetic number, because the mean of its divisors is an integer number (4231678016748).

Almost surely, 2200002021403220 is an apocalyptic number.

200002021403220 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 200002021403220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304680817205856).

200002021403220 is an abundant number, since it is smaller than the sum of its proper divisors (409359613008492).

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

200002021403220 is a wasteful number, since it uses less digits than its factorization.

200002021403220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4378342 (or 4378337 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 200002021403220 its reverse (22304120200002), we get a palindrome (222306141603222).

The spelling of 200002021403220 in words is "two hundred trillion, two billion, twenty-one million, four hundred three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 313 626 811 939 1252 1565 1622 1878 2433 2817 3130 3244 3756 4055 4695 4866 5634 6260 7299 8110 9390 9732 11268 12165 14085 14598 16220 18780 24330 28170 29196 36495 48660 56340 72990 145980 253843 507686 761529 1015372 1269215 1523058 2284587 2538430 3046116 3807645 4377203 4569174 5076860 7615290 8754406 9138348 11422935 13131609 15230580 17508812 21886015 22845870 26263218 39394827 43772030 45691740 52526436 65658045 78789654 87544060 131316090 157579308 196974135 262632180 393948270 787896540 1370064539 2740129078 3549911633 4110193617 5480258156 6850322695 7099823266 8220387234 10649734899 12330580851 13700645390 14199646532 16440774468 17749558165 20550968085 21299469798 24661161702 27401290780 31949204697 35499116330 41101936170 42598939596 49322323404 53248674495 61652904255 63898409394 70998232660 82203872340 106497348990 123305808510 127796818788 159746023485 212994697980 246611617020 319492046970 638984093940 1111122341129 2222244682258 3333367023387 4444489364516 5555611705645 6666734046774 10000101070161 11111223411290 13333468093548 16666835116935 20000202140322 22222446822580 33333670233870 40000404280644 50000505350805 66667340467740 100001010701610 200002021403220