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212121020220 = 223541313275489
BaseRepresentation
bin1100010110001101100…
…1011110011100111100
3202021112002010022101020
43011203121132130330
511433410440121340
6241240321344140
721216361631244
oct3054331363474
9667462108336
10212121020220
1181a6187108a
123513aa98050
13170065770a5
14a3a3c02b24
1557b764c9d0
hex316365e73c

212121020220 has 96 divisors (see below), whose sum is σ = 610371236160. Its totient is φ = 55009443840.

The previous prime is 212121020201. The next prime is 212121020227. The reversal of 212121020220 is 22020121212.

It is a super-3 number, since 3×2121210202203 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212121020220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212121020227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 632236 + ... + 907724.

It is an arithmetic number, because the mean of its divisors is an integer number (6358033710).

Almost surely, 2212121020220 is an apocalyptic number.

212121020220 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 212121020220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305185618080).

212121020220 is an abundant number, since it is smaller than the sum of its proper divisors (398250215940).

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

212121020220 is a wasteful number, since it uses less digits than its factorization.

212121020220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275855 (or 275853 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 212121020220 its reverse (22020121212), we get a palindrome (234141141432).

The spelling of 212121020220 in words is "two hundred twelve billion, one hundred twenty-one million, twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 313 410 492 615 626 820 939 1230 1252 1565 1878 2460 3130 3756 4695 6260 9390 12833 18780 25666 38499 51332 64165 76998 128330 153996 192495 256660 275489 384990 550978 769980 826467 1101956 1377445 1652934 2754890 3305868 4132335 5509780 8264670 11295049 16529340 22590098 33885147 45180196 56475245 67770294 86228057 112950490 135540588 169425735 172456114 225900980 258684171 338851470 344912228 431140285 517368342 677702940 862280570 1034736684 1293420855 1724561140 2586841710 3535350337 5173683420 7070700674 10606051011 14141401348 17676751685 21212102022 35353503370 42424204044 53030255055 70707006740 106060510110 212121020220