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200321330300 = 225271334763439
BaseRepresentation
bin1011101010010000010…
…1001110110001111100
3201011001201220221210122
42322210011032301330
511240224230032200
6232005405154112
720321102133020
oct2724405166174
9634051827718
10200321330300
1177a57194433
12329a725b938
1315b75a77a50
1499a4a48380
155326798385
hex2ea414ec7c

200321330300 has 144 divisors (see below), whose sum is σ = 536562324480. Its totient is φ = 63214698240.

The previous prime is 200321330269. The next prime is 200321330317. The reversal of 200321330300 is 3033123002.

200321330300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3125981 + ... + 3189419.

Almost surely, 2200321330300 is an apocalyptic number.

200321330300 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 200321330300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268281162240).

200321330300 is an abundant number, since it is smaller than the sum of its proper divisors (336240994180).

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

200321330300 is a wasteful number, since it uses less digits than its factorization.

200321330300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63820 (or 63813 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 17.

Adding to 200321330300 its reverse (3033123002), we get a palindrome (203354453302).

The spelling of 200321330300 in words is "two hundred billion, three hundred twenty-one million, three hundred thirty thousand, three hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 140 175 182 260 325 347 350 364 455 650 694 700 910 1300 1388 1735 1820 2275 2429 3470 4511 4550 4858 6940 8675 9022 9100 9716 12145 17350 18044 22555 24290 31577 34700 45110 48580 60725 63154 63439 90220 112775 121450 126308 126878 157885 225550 242900 253756 315770 317195 444073 451100 631540 634390 789425 824707 888146 1268780 1578850 1585975 1649414 1776292 2220365 3157700 3171950 3298828 4123535 4440730 5772949 6343900 8247070 8881460 11101825 11545898 16494140 20617675 22013333 22203650 23091796 28864745 41235350 44026666 44407300 57729490 82470700 88053332 110066665 115458980 144323725 154093331 220133330 286173329 288647450 308186662 440266660 550333325 572346658 577294900 616373324 770466655 1100666650 1144693316 1430866645 1540933310 2003213303 2201333300 2861733290 3081866620 3852333275 4006426606 5723466580 7154333225 7704666550 8012853212 10016066515 14308666450 15409333100 20032133030 28617332900 40064266060 50080332575 100160665150 200321330300