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3000312200 = 2352109229601
BaseRepresentation
bin1011001011010101…
…0010000110001000
321202002121122121002
42302311102012020
522121034442300
61213415034132
7134231142614
oct26265220610
97662548532
103000312200
1112aa663a66
126b896b948
1338a793682
14206688344
151286065d5
hexb2d52188

3000312200 has 96 divisors (see below), whose sum is σ = 7082229000. Its totient is φ = 1181952000.

The previous prime is 3000312157. The next prime is 3000312223. The reversal of 3000312200 is 22130003.

It can be written as a sum of positive squares in 12 ways, for example, as 1542447076 + 1457865124 = 39274^2 + 38182^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4991900 + ... + 4992500.

Almost surely, 23000312200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3000312200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3541114500).

3000312200 is an abundant number, since it is smaller than the sum of its proper divisors (4081916800).

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

3000312200 is a wasteful number, since it uses less digits than its factorization.

3000312200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955 (or 946 counting only the distinct ones).

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

The square root of 3000312200 is about 54775.1056594143. The cubic root of 3000312200 is about 1442.2995986071.

Adding to 3000312200 its reverse (22130003), we get a palindrome (3022442203).

The spelling of 3000312200 in words is "three billion, three hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 109 200 218 229 436 458 545 601 872 916 1090 1145 1202 1832 2180 2290 2404 2725 3005 4360 4580 4808 5450 5725 6010 9160 10900 11450 12020 15025 21800 22900 24040 24961 30050 45800 49922 60100 65509 99844 120200 124805 131018 137629 199688 249610 262036 275258 327545 499220 524072 550516 624025 655090 688145 998440 1101032 1248050 1310180 1376290 1637725 2496100 2620360 2752580 3275450 3440725 4992200 5505160 6550900 6881450 13101800 13762900 15001561 27525800 30003122 60006244 75007805 120012488 150015610 300031220 375039025 600062440 750078050 1500156100 3000312200