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2303112300 = 223528279283
BaseRepresentation
bin1000100101000110…
…1011010001101100
312221111201020010120
42021101223101230
514204044043200
61020311404540
7111034063056
oct21121532154
95844636116
102303112300
11a820573a5
12543383750
132a91c4958
1417bc3c8d6
15d72d89a0
hex8946b46c

2303112300 has 72 divisors (see below), whose sum is σ = 6672447936. Its totient is φ = 613354560.

The previous prime is 2303112299. The next prime is 2303112307. The reversal of 2303112300 is 32113032.

It is a super-2 number, since 2×23031123002 = 10608652532822580000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2303112300.

It is not an unprimeable number, because it can be changed into a prime (2303112307) 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, 243459 + ... + 252741.

It is an arithmetic number, because the mean of its divisors is an integer number (92672888).

Almost surely, 22303112300 is an apocalyptic number.

2303112300 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 2303112300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3336223968).

2303112300 is an abundant number, since it is smaller than the sum of its proper divisors (4369335636).

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

2303112300 is a wasteful number, since it uses less digits than its factorization.

2303112300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10127 (or 10120 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 2303112300 is about 47990.7522341544. The cubic root of 2303112300 is about 1320.6012527211.

Adding to 2303112300 its reverse (32113032), we get a palindrome (2335225332).

The spelling of 2303112300 in words is "two billion, three hundred three million, one hundred twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 827 1654 2481 3308 4135 4962 8270 9283 9924 12405 16540 18566 20675 24810 27849 37132 41350 46415 49620 55698 62025 82700 92830 111396 124050 139245 185660 232075 248100 278490 464150 556980 696225 928300 1392450 2784900 7677041 15354082 23031123 30708164 38385205 46062246 76770410 92124492 115155615 153540820 191926025 230311230 383852050 460622460 575778075 767704100 1151556150 2303112300