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212021033300 = 225219782113109
BaseRepresentation
bin1100010101110101110…
…0000011100101010100
3202021021002222110002222
43011131130003211110
511433204341031200
6241222350321512
721214036022216
oct3053534034524
9667232873088
10212021033300
1181a1038946a
12351114b9298
1316cbb93952b
14a3948165b6
1557ad99bd85
hex315d703954

212021033300 has 72 divisors (see below), whose sum is σ = 463019661720. Its totient is φ = 84268710400.

The previous prime is 212021033299. The next prime is 212021033317. The reversal of 212021033300 is 3330120212.

It can be written as a sum of positive squares in 12 ways, for example, as 30679624336 + 181341408964 = 175156^2 + 425842^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16167146 + ... + 16180254.

It is an arithmetic number, because the mean of its divisors is an integer number (6430828635).

Almost surely, 2212021033300 is an apocalyptic number.

212021033300 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 212021033300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231509830860).

212021033300 is an abundant number, since it is smaller than the sum of its proper divisors (250998628420).

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

212021033300 is a wasteful number, since it uses less digits than its factorization.

212021033300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14141 (or 14134 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 212021033300 its reverse (3330120212), we get a palindrome (215351153512).

The spelling of 212021033300 in words is "two hundred twelve billion, twenty-one million, thirty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 197 394 788 821 985 1642 1970 3284 3940 4105 4925 8210 9850 13109 16420 19700 20525 26218 41050 52436 65545 82100 131090 161737 262180 323474 327725 646948 655450 808685 1310900 1617370 2582473 3234740 4043425 5164946 8086850 10329892 10762489 12912365 16173700 21524978 25824730 43049956 51649460 53812445 64561825 107624890 129123650 215249780 258247300 269062225 538124450 1076248900 2120210333 4240420666 8480841332 10601051665 21202103330 42404206660 53005258325 106010516650 212021033300