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212202112021020 = 223351135724261283
BaseRepresentation
bin110000001111111100100111…
…100000011111001000011100
31000211100022202001010122001000
4300033330213200133020130
5210303204411134133040
62031152145433350300
762461045104215652
oct6017744740371034
91024308661118030
10212202112021020
1161683457157a70
121b972235b68390
13915375b7071c4
143a588cbdbcdd2
15197ece5a73130
hexc0ff2781f21c

212202112021020 has 96 divisors (see below), whose sum is σ = 720201107485440. Its totient is φ = 51442936246080.

The previous prime is 212202112020979. The next prime is 212202112021043. The reversal of 212202112021020 is 20120211202212.

It is a happy number.

212202112021020 is a `hidden beast` number, since 2 + 1 + 220 + 211 + 2 + 0 + 210 + 20 = 666.

212202112021020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2122021120210203 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 212202112020984 and 212202112021002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17862124702 + ... + 17862136581.

It is an arithmetic number, because the mean of its divisors is an integer number (7502094869640).

Almost surely, 2212202112021020 is an apocalyptic number.

212202112021020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212202112021020 is an abundant number, since it is smaller than the sum of its proper divisors (507998995464420).

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

212202112021020 is a wasteful number, since it uses less digits than its factorization.

212202112021020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35724261312 (or 35724261304 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 212202112021020 its reverse (20120211202212), we get a palindrome (232322323223232).

The spelling of 212202112021020 in words is "two hundred twelve trillion, two hundred two billion, one hundred twelve million, twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 396 495 540 594 660 990 1188 1485 1980 2970 5940 35724261283 71448522566 107172783849 142897045132 178621306415 214345567698 321518351547 357242612830 392966874113 428691135396 535863919245 643036703094 714485225660 785933748226 964555054641 1071727838490 1178900622339 1286073406188 1571867496452 1607591757735 1929110109282 1964834370565 2143455676980 2357801244678 3215183515470 3536701867017 3858220218564 3929668741130 4715602489356 4822775273205 5894503111695 6430367030940 7073403734034 7859337482260 9645550546410 10610105601051 11789006223390 14146807468068 17683509335085 19291101092820 21220211202102 23578012446780 35367018670170 42440422404204 53050528005255 70734037340340 106101056010510 212202112021020