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20211020200 = 2352726133809
BaseRepresentation
bin10010110100101010…
…111011000110101000
31221011112121012112201
4102310222323012220
5312343010121300
613141304145544
71313563560100
oct226452730650
957145535481
1020211020200
118631659688
123b007682b4
131ba131cc67
14d9a336200
157d455066a
hex4b4abb1a8

20211020200 has 144 divisors (see below), whose sum is σ = 55560311100. Its totient is φ = 6815692800.

The previous prime is 20211020189. The next prime is 20211020279. The reversal of 20211020200 is 202011202.

It can be written as a sum of positive squares in 6 ways, for example, as 2681789796 + 17529230404 = 51786^2 + 132398^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 580896 + ... + 614704.

Almost surely, 220211020200 is an apocalyptic number.

20211020200 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 20211020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27780155550).

20211020200 is an abundant number, since it is smaller than the sum of its proper divisors (35349290900).

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

20211020200 is a wasteful number, since it uses less digits than its factorization.

20211020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33900 (or 33884 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 20211020200 its reverse (202011202), we get a palindrome (20413031402).

The spelling of 20211020200 in words is "twenty billion, two hundred eleven million, twenty thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 61 70 98 100 122 140 175 196 200 244 245 280 305 350 392 427 488 490 610 700 854 980 1220 1225 1400 1525 1708 1960 2135 2440 2450 2989 3050 3416 4270 4900 5978 6100 8540 9800 10675 11956 12200 14945 17080 21350 23912 29890 33809 42700 59780 67618 74725 85400 119560 135236 149450 169045 236663 270472 298900 338090 473326 597800 676180 845225 946652 1183315 1352360 1656641 1690450 1893304 2062349 2366630 3313282 3380900 4124698 4733260 5916575 6626564 6761800 8249396 8283205 9466520 10311745 11833150 13253128 14436443 16498792 16566410 20623490 23666300 28872886 33132820 41246980 41416025 47332600 51558725 57745772 66265640 72182215 82493960 82832050 101055101 103117450 115491544 144364430 165664100 202110202 206234900 288728860 331328200 360911075 404220404 412469800 505275505 577457720 721822150 808440808 1010551010 1443644300 2021102020 2526377525 2887288600 4042204040 5052755050 10105510100 20211020200