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2301300200 = 235217683991
BaseRepresentation
bin1000100100101011…
…0000110111101000
312221101022011101202
42021022300313220
514203113101300
61020204503332
7111012505013
oct21112606750
95841264352
102301300200
11a810299a1
1254284ab48
132a8a0bbc4
1417b8ca37a
15d707bad5
hex892b0de8

2301300200 has 96 divisors (see below), whose sum is σ = 5679279360. Its totient is φ = 864230400.

The previous prime is 2301300179. The next prime is 2301300203. The reversal of 2301300200 is 20031032.

It is a super-2 number, since 2×23013002002 = 10591965221040080000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2301300203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2321705 + ... + 2322695.

It is an arithmetic number, because the mean of its divisors is an integer number (59159160).

Almost surely, 22301300200 is an apocalyptic number.

2301300200 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 2301300200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2839639680).

2301300200 is an abundant number, since it is smaller than the sum of its proper divisors (3377979160).

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

2301300200 is a wasteful number, since it uses less digits than its factorization.

2301300200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1707 (or 1698 counting only the distinct ones).

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

The square root of 2301300200 is about 47971.8688399775. The cubic root of 2301300200 is about 1320.2548100069.

Adding to 2301300200 its reverse (20031032), we get a palindrome (2321331232).

The spelling of 2301300200 in words is "two billion, three hundred one million, three hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 683 850 991 1366 1700 1982 2732 3400 3415 3964 4955 5464 6830 7928 9910 11611 13660 16847 17075 19820 23222 24775 27320 33694 34150 39640 46444 49550 58055 67388 68300 84235 92888 99100 116110 134776 136600 168470 198200 232220 290275 336940 421175 464440 580550 673880 676853 842350 1161100 1353706 1684700 2322200 2707412 3369400 3384265 5414824 6768530 11506501 13537060 16921325 23013002 27074120 33842650 46026004 57532505 67685300 92052008 115065010 135370600 230130020 287662525 460260040 575325050 1150650100 2301300200