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21241203200 = 29527237067
BaseRepresentation
bin10011110010000100…
…110000101000000000
32000211100001220221122
4103302010300220000
5322000222000300
613431424411412
71351243151060
oct236204605000
960740056848
1021241203200
119010118398
124149776b68
1320068974b9
14105709d3a0
15844be4c85
hex4f2130a00

21241203200 has 120 divisors (see below), whose sum is σ = 60145099872. Its totient is φ = 7282667520.

The previous prime is 21241203199. The next prime is 21241203227. The reversal of 21241203200 is 230214212.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28934 + ... + 208133.

Almost surely, 221241203200 is an apocalyptic number.

21241203200 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 21241203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30072549936).

21241203200 is an abundant number, since it is smaller than the sum of its proper divisors (38903896672).

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

21241203200 is an equidigital number, since it uses as much as digits as its factorization.

21241203200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237102 (or 237081 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 21241203200 its reverse (230214212), we get a palindrome (21471417412).

The spelling of 21241203200 in words is "twenty-one billion, two hundred forty-one million, two hundred three thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 128 140 160 175 200 224 256 280 320 350 400 448 512 560 640 700 800 896 1120 1280 1400 1600 1792 2240 2560 2800 3200 3584 4480 5600 6400 8960 11200 12800 17920 22400 44800 89600 237067 474134 948268 1185335 1659469 1896536 2370670 3318938 3793072 4741340 5926675 6637876 7586144 8297345 9482680 11853350 13275752 15172288 16594690 18965360 23706700 26551504 30344576 33189380 37930720 41486725 47413400 53103008 60689152 66378760 75861440 82973450 94826800 106206016 121378304 132757520 151722880 165946900 189653600 212412032 265515040 303445760 331893800 379307200 424824064 531030080 606891520 663787600 758614400 849648128 1062060160 1327575200 1517228800 2124120320 2655150400 3034457600 4248240640 5310300800 10620601600 21241203200