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130300200 = 233252191379
BaseRepresentation
bin1111100010000…
…11100100101000
3100002011221021100
413301003210220
5231324101300
620532441400
73141350652
oct761034450
9302157240
10130300200
1167607518
1237779260
1320cc2314
141343b6d2
15b68c700
hex7c43928

130300200 has 144 divisors (see below), whose sum is σ = 441043200. Its totient is φ = 34473600.

The previous prime is 130300147. The next prime is 130300207. The reversal of 130300200 is 2003031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (130300207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 343611 + ... + 343989.

It is an arithmetic number, because the mean of its divisors is an integer number (3062800).

Almost surely, 2130300200 is an apocalyptic number.

130300200 is a gapful number since it is divisible by the number (10) 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 130300200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220521600).

130300200 is an abundant number, since it is smaller than the sum of its proper divisors (310743000).

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

130300200 is a wasteful number, since it uses less digits than its factorization.

130300200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 130300200 is about 11414.9113005752. The cubic root of 130300200 is about 506.9693386217.

Adding to 130300200 its reverse (2003031), we get a palindrome (132303231).

The spelling of 130300200 in words is "one hundred thirty million, three hundred thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 191 200 225 300 360 379 382 450 573 600 758 764 900 955 1137 1146 1516 1528 1719 1800 1895 1910 2274 2292 2865 3032 3411 3438 3790 3820 4548 4584 4775 5685 5730 6822 6876 7580 7640 8595 9096 9475 9550 11370 11460 13644 13752 14325 15160 17055 17190 18950 19100 22740 22920 27288 28425 28650 34110 34380 37900 38200 42975 45480 56850 57300 68220 68760 72389 75800 85275 85950 113700 114600 136440 144778 170550 171900 217167 227400 289556 341100 343800 361945 434334 579112 651501 682200 723890 868668 1085835 1303002 1447780 1737336 1809725 2171670 2606004 2895560 3257505 3619450 4343340 5212008 5429175 6515010 7238900 8686680 10858350 13030020 14477800 16287525 21716700 26060040 32575050 43433400 65150100 130300200