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21020222300 = 225271113671997
BaseRepresentation
bin10011100100111001…
…110010001101011100
32000020221020221010212
4103210321302031130
5321022134103200
613353452151552
71342620640640
oct234471621534
960227227125
1021020222300
118a07405150
1240a77685b8
131c9cb7547c
1410359b8c20
158305e4035
hex4e4e7235c

21020222300 has 144 divisors (see below), whose sum is σ = 56939355648. Its totient is φ = 6543686400.

The previous prime is 21020222281. The next prime is 21020222303. The reversal of 21020222300 is 322202012.

It is a super-3 number, since 3×210202223003 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21020222303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10524902 + ... + 10526898.

It is an arithmetic number, because the mean of its divisors is an integer number (395412192).

Almost surely, 221020222300 is an apocalyptic number.

21020222300 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 21020222300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28469677824).

21020222300 is an abundant number, since it is smaller than the sum of its proper divisors (35919133348).

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

21020222300 is a wasteful number, since it uses less digits than its factorization.

21020222300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3396 (or 3389 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 21020222300 its reverse (322202012), we get a palindrome (21342424312).

The spelling of 21020222300 in words is "twenty-one billion, twenty million, two hundred twenty-two thousand, three hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 275 308 350 385 550 700 770 1100 1367 1540 1925 1997 2734 3850 3994 5468 6835 7700 7988 9569 9985 13670 13979 15037 19138 19970 21967 27340 27958 30074 34175 38276 39940 43934 47845 49925 55916 60148 68350 69895 75185 87868 95690 99850 105259 109835 136700 139790 150370 153769 191380 199700 210518 219670 239225 279580 300740 307538 349475 375925 421036 439340 478450 526295 549175 615076 698950 751850 768845 956900 1052590 1098350 1397900 1503700 1537690 2105180 2196700 2631475 2729899 3075380 3844225 5262950 5459798 7688450 10525900 10919596 13649495 15376900 19109293 27298990 30028889 38218586 54597980 60057778 68247475 76437172 95546465 120115556 136494950 150144445 191092930 210202223 272989900 300288890 382185860 420404446 477732325 600577780 750722225 840808892 955464650 1051011115 1501444450 1910929300 2102022230 3002888900 4204044460 5255055575 10510111150 21020222300