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300010012200 = 233252166672229
BaseRepresentation
bin1000101110110011111…
…11010111111000101000
31001200101012202200220100
410113121333113320220
514403410030342300
6345453411425400
730450346012413
oct4273177277050
91050335680810
10300010012200
11106262915648
124a1888b5260
13223a1c25ba2
14107405cab7a
157c0d4da700
hex45d9fd7e28

300010012200 has 72 divisors (see below), whose sum is σ = 1007533630350. Its totient is φ = 80002669440.

The previous prime is 300010012193. The next prime is 300010012219. The reversal of 300010012200 is 2210010003.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 147764897604 + 152245114596 = 384402^2 + 390186^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 83334315 + ... + 83337914.

Almost surely, 2300010012200 is an apocalyptic number.

300010012200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

300010012200 is an abundant number, since it is smaller than the sum of its proper divisors (707523618150).

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

300010012200 is a wasteful number, since it uses less digits than its factorization.

300010012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166672251 (or 166672239 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 300010012200 its reverse (2210010003), we get a palindrome (302220022203).

The spelling of 300010012200 in words is "three hundred billion, ten million, twelve 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 90 100 120 150 180 200 225 300 360 450 600 900 1800 166672229 333344458 500016687 666688916 833361145 1000033374 1333377832 1500050061 1666722290 2000066748 2500083435 3000100122 3333444580 4000133496 4166805725 5000166870 6000200244 6666889160 7500250305 8333611450 10000333740 12000400488 12500417175 15000500610 16667222900 20000667480 25000834350 30001001220 33334445800 37501251525 50001668700 60002002440 75002503050 100003337400 150005006100 300010012200