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200313300 = 2235211101601
BaseRepresentation
bin10111111000010…
…00100111010100
3111221220222012010
423330020213110
5402240011200
631513224220
74651430535
oct1374104724
9457828163
10200313300
11a3087390
1257102070
1332666aa5
141c86468c
15128bc150
hexbf089d4

200313300 has 144 divisors (see below), whose sum is σ = 639584064. Its totient is φ = 48000000.

The previous prime is 200313287. The next prime is 200313313. The reversal of 200313300 is 3313002.

It is a happy number.

200313300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (200313287) and next prime (200313313).

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 47 ways as a sum of consecutive naturals, for example, 333000 + ... + 333600.

It is an arithmetic number, because the mean of its divisors is an integer number (4441556).

Almost surely, 2200313300 is an apocalyptic number.

200313300 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 200313300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319792032).

200313300 is an abundant number, since it is smaller than the sum of its proper divisors (439270764).

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

200313300 is a wasteful number, since it uses less digits than its factorization.

200313300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 200313300 is about 14153.2081168900. The cubic root of 200313300 is about 585.1087532489.

Adding to 200313300 its reverse (3313002), we get a palindrome (203626302).

The spelling of 200313300 in words is "two hundred million, three hundred thirteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 101 110 132 150 165 202 220 275 300 303 330 404 505 550 601 606 660 825 1010 1100 1111 1202 1212 1515 1650 1803 2020 2222 2404 2525 3005 3030 3300 3333 3606 4444 5050 5555 6010 6060 6611 6666 7212 7575 9015 10100 11110 12020 13222 13332 15025 15150 16665 18030 19833 22220 26444 27775 30050 30300 33055 33330 36060 39666 45075 55550 60100 60701 66110 66660 79332 83325 90150 99165 111100 121402 132220 165275 166650 180300 182103 198330 242804 303505 330550 333300 364206 396660 495825 607010 661100 667711 728412 910515 991650 1214020 1335422 1517525 1821030 1983300 2003133 2670844 3035050 3338555 3642060 4006266 4552575 6070100 6677110 8012532 9105150 10015665 13354220 16692775 18210300 20031330 33385550 40062660 50078325 66771100 100156650 200313300