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21241412300 = 22521138272273
BaseRepresentation
bin10011110010000101…
…100011101011001100
32000211100110112210002
4103302011203223030
5322000300143200
613431433103432
71351245011513
oct236205435314
960740415702
1021241412300
1190102504a9
124149857b78
13200693b724
14105711567a
15844c36bd5
hex4f2163acc

21241412300 has 72 divisors (see below), whose sum is σ = 46578487536. Its totient is φ = 8407490560.

The previous prime is 21241412293. The next prime is 21241412317. The reversal of 21241412300 is 321414212.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9343964 + ... + 9346236.

It is an arithmetic number, because the mean of its divisors is an integer number (646923438).

Almost surely, 221241412300 is an apocalyptic number.

21241412300 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 21241412300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23289243768).

21241412300 is an abundant number, since it is smaller than the sum of its proper divisors (25337075236).

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

21241412300 is a wasteful number, since it uses less digits than its factorization.

21241412300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3227 (or 3220 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 21241412300 its reverse (321414212), we get a palindrome (21562826512).

The spelling of 21241412300 in words is "twenty-one billion, two hundred forty-one million, four hundred twelve thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 113 226 452 565 827 1130 1654 2260 2273 2825 3308 4135 4546 5650 8270 9092 11300 11365 16540 20675 22730 41350 45460 56825 82700 93451 113650 186902 227300 256849 373804 467255 513698 934510 1027396 1284245 1869020 1879771 2336275 2568490 3759542 4672550 5136980 6421225 7519084 9345100 9398855 12842450 18797710 25684900 37595420 46994275 93988550 187977100 212414123 424828246 849656492 1062070615 2124141230 4248282460 5310353075 10620706150 21241412300