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200303120 = 24519312973
BaseRepresentation
bin10111111000001…
…10001000010000
3111221220110020002
423330012020100
5402234144440
631513105132
74651356053
oct1374061020
9457813202
10200303120
11a307a776
12570b81a8
1332662274
141c860a9a
15128b9115
hexbf06210

200303120 has 40 divisors (see below), whose sum is σ = 468153816. Its totient is φ = 79699968.

The previous prime is 200303057. The next prime is 200303137. The reversal of 200303120 is 21303002.

200303120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 6091024 + 194212096 = 2468^2 + 13936^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8954 + ... + 21926.

Almost surely, 2200303120 is an apocalyptic number.

200303120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200303120 is an abundant number, since it is smaller than the sum of its proper divisors (267850696).

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

200303120 is a wasteful number, since it uses less digits than its factorization.

200303120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13179 (or 13173 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 200303120 is about 14152.8484765435. The cubic root of 200303120 is about 585.0988412627.

Adding to 200303120 its reverse (21303002), we get a palindrome (221606122).

The spelling of 200303120 in words is "two hundred million, three hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 193 386 772 965 1544 1930 3088 3860 7720 12973 15440 25946 51892 64865 103784 129730 207568 259460 518920 1037840 2503789 5007578 10015156 12518945 20030312 25037890 40060624 50075780 100151560 200303120