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2300112300 = 223524124561
BaseRepresentation
bin1000100100011000…
…1110110110101100
312221022001210220110
42021012032312230
514202312043200
61020123220020
7110666426523
oct21106166654
95838053813
102300112300
11a80398462
12542377610
132a86b42c5
1417b69b4ba
15d6de4b50
hex8918edac

2300112300 has 108 divisors (see below), whose sum is σ = 6822762968. Its totient is φ = 598272000.

The previous prime is 2300112277. The next prime is 2300112307. The reversal of 2300112300 is 32110032.

It is a happy number.

It is a super-2 number, since 2×23001123002 = 10581033185222580000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (2300112307) 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, 502020 + ... + 506580.

Almost surely, 22300112300 is an apocalyptic number.

2300112300 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 2300112300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3411381484).

2300112300 is an abundant number, since it is smaller than the sum of its proper divisors (4522650668).

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

2300112300 is a wasteful number, since it uses less digits than its factorization.

2300112300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4660 (or 4612 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 2300112300 is about 47959.4860272710. The cubic root of 2300112300 is about 1320.0276050242.

Adding to 2300112300 its reverse (32110032), we get a palindrome (2332222332).

The spelling of 2300112300 in words is "two billion, three hundred million, one hundred twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 41 50 60 75 82 100 123 150 164 205 246 300 410 492 615 820 1025 1230 1681 2050 2460 3075 3362 4100 4561 5043 6150 6724 8405 9122 10086 12300 13683 16810 18244 20172 22805 25215 27366 33620 42025 45610 50430 54732 68415 84050 91220 100860 114025 126075 136830 168100 187001 228050 252150 273660 342075 374002 456100 504300 561003 684150 748004 935005 1122006 1368300 1870010 2244012 2805015 3740020 4675025 5610030 7667041 9350050 11220060 14025075 15334082 18700100 23001123 28050150 30668164 38335205 46002246 56100300 76670410 92004492 115005615 153340820 191676025 230011230 383352050 460022460 575028075 766704100 1150056150 2300112300