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5301320200 = 23521119912109
BaseRepresentation
bin1001110111111101…
…11011101000001000
3111200110100222011121
410323332323220020
541324114221300
62234013405024
7245241323011
oct47376735010
914613328147
105301320200
112280503370
12103b499774
136663cc577
143840da008
1521062681a
hex13bfbba08

5301320200 has 96 divisors (see below), whose sum is σ = 13514760000. Its totient is φ = 1917907200.

The previous prime is 5301320197. The next prime is 5301320221. The reversal of 5301320200 is 20231035.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 431746 + ... + 443854.

It is an arithmetic number, because the mean of its divisors is an integer number (140778750).

Almost surely, 25301320200 is an apocalyptic number.

5301320200 is a gapful number since it is divisible by the number (50) 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 5301320200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6757380000).

5301320200 is an abundant number, since it is smaller than the sum of its proper divisors (8213439800).

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

5301320200 is a wasteful number, since it uses less digits than its factorization.

5301320200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12335 (or 12326 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 5301320200 is about 72810.1654990565. The cubic root of 5301320200 is about 1743.6581556864.

Adding to 5301320200 its reverse (20231035), we get a palindrome (5321551235).

The spelling of 5301320200 in words is "five billion, three hundred one million, three hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 199 200 220 275 398 440 550 796 995 1100 1592 1990 2189 2200 3980 4378 4975 7960 8756 9950 10945 12109 17512 19900 21890 24218 39800 43780 48436 54725 60545 87560 96872 109450 121090 133199 218900 242180 266398 302725 437800 484360 532796 605450 665995 1065592 1210900 1331990 2409691 2421800 2663980 3329975 4819382 5327960 6659950 9638764 12048455 13319900 19277528 24096910 26506601 26639800 48193820 53013202 60242275 96387640 106026404 120484550 132533005 212052808 240969100 265066010 481938200 530132020 662665025 1060264040 1325330050 2650660100 5301320200