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21244203300 = 22352411799649
BaseRepresentation
bin10011110010010000…
…001101000100100100
32000211112201100022110
4103302100031010210
5322002004001200
613432013001020
71351310514525
oct236220150444
960745640273
1021244203300
119011887411
12414a783170
1320073a7bc8
14105764084c
158450d8b50
hex4f240d124

21244203300 has 144 divisors (see below), whose sum is σ = 63324072000. Its totient is φ = 5495500800.

The previous prime is 21244203283. The next prime is 21244203313. The reversal of 21244203300 is 330244212.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2196876 + ... + 2206524.

It is an arithmetic number, because the mean of its divisors is an integer number (439750500).

Almost surely, 221244203300 is an apocalyptic number.

21244203300 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 21244203300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31662036000).

21244203300 is an abundant number, since it is smaller than the sum of its proper divisors (42079868700).

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

21244203300 is a wasteful number, since it uses less digits than its factorization.

21244203300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9886 (or 9879 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 21244203300 its reverse (330244212), we get a palindrome (21574447512).

The spelling of 21244203300 in words is "twenty-one billion, two hundred forty-four million, two hundred three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 41 50 60 75 82 100 123 150 164 179 205 246 300 358 410 492 537 615 716 820 895 1025 1074 1230 1790 2050 2148 2460 2685 3075 3580 4100 4475 5370 6150 7339 8950 9649 10740 12300 13425 14678 17900 19298 22017 26850 28947 29356 36695 38596 44034 48245 53700 57894 73390 88068 96490 110085 115788 144735 146780 183475 192980 220170 241225 289470 366950 395609 440340 482450 550425 578940 723675 733900 791218 964900 1100850 1186827 1447350 1582436 1727171 1978045 2201700 2373654 2894700 3454342 3956090 4747308 5181513 5934135 6908684 7912180 8635855 9890225 10363026 11868270 17271710 19780450 20726052 23736540 25907565 29670675 34543420 39560900 43179275 51815130 59341350 70814011 86358550 103630260 118682700 129537825 141628022 172717100 212442033 259075650 283256044 354070055 424884066 518151300 708140110 849768132 1062210165 1416280220 1770350275 2124420330 3540700550 4248840660 5311050825 7081401100 10622101650 21244203300