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242554300300 = 225213367508393
BaseRepresentation
bin1110000111100101011…
…1001110011110001100
3212012002000201010021201
43201321113032132030
512433222400102200
6303232232235244
723344502351314
oct3417127163614
9765060633251
10242554300300
1193959640924
123b012b3bb24
1319b46633720
14ba4d9d6444
156499310c6a
hex38795ce78c

242554300300 has 72 divisors (see below), whose sum is σ = 568376357696. Its totient is φ = 89314306560.

The previous prime is 242554300259. The next prime is 242554300301. The reversal of 242554300300 is 3003455242.

It is not an unprimeable number, because it can be changed into a prime (242554300301) 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, 222904 + ... + 731296.

Almost surely, 2242554300300 is an apocalyptic number.

242554300300 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 242554300300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284188178848).

242554300300 is an abundant number, since it is smaller than the sum of its proper divisors (325822057396).

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

242554300300 is a wasteful number, since it uses less digits than its factorization.

242554300300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508787 (or 508780 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 28.

Adding to 242554300300 its reverse (3003455242), we get a palindrome (245557755542).

The spelling of 242554300300 in words is "two hundred forty-two billion, five hundred fifty-four million, three hundred thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 367 650 734 1300 1468 1835 3670 4771 7340 9175 9542 18350 19084 23855 36700 47710 95420 119275 238550 477100 508393 1016786 2033572 2541965 5083930 6609109 10167860 12709825 13218218 25419650 26436436 33045545 50839300 66091090 132182180 165227725 186580231 330455450 373160462 660910900 746320924 932901155 1865802310 2425543003 3731604620 4664505775 4851086006 9329011550 9702172012 12127715015 18658023100 24255430030 48510860060 60638575075 121277150150 242554300300