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221021102212020 = 2232511197635648273
BaseRepresentation
bin110010010000010001111100…
…010010010000001110110100
31001222120102002122001102121100
4302100101330102100032310
5212432202204131241040
62102023405335450100
764361150645050455
oct6220217422201664
91058512078042540
10221021102212020
1164473583210520
1220957453b26930
13964327b68c826
143c8169ab2712c
151a843ed078b30
hexc9047c4903b4

221021102212020 has 144 divisors (see below), whose sum is σ = 731416057025472. Its totient is φ = 53578152606720.

The previous prime is 221021102212007. The next prime is 221021102212021. The reversal of 221021102212020 is 20212201120122.

It is a happy number.

221021102212020 is a `hidden beast` number, since 2 + 210 + 21 + 10 + 221 + 202 + 0 = 666.

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 = 221021102211984 and 221021102212002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221021102212021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36306604 + ... + 41954876.

It is an arithmetic number, because the mean of its divisors is an integer number (5079278173788).

Almost surely, 2221021102212020 is an apocalyptic number.

221021102212020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221021102212020 is an abundant number, since it is smaller than the sum of its proper divisors (510394954813452).

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

221021102212020 is a wasteful number, since it uses less digits than its factorization.

221021102212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5668062 (or 5668057 counting only the distinct ones).

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

Adding to 221021102212020 its reverse (20212201120122), we get a palindrome (241233303332142).

The spelling of 221021102212020 in words is "two hundred twenty-one trillion, twenty-one billion, one hundred two million, two hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 19763 39526 59289 79052 98815 118578 177867 197630 217393 237156 296445 355734 395260 434786 592890 652179 711468 869572 889335 1086965 1185780 1304358 1778670 1956537 2173930 2608716 3260895 3557340 3913074 4347860 5648273 6521790 7826148 9782685 11296546 13043580 16944819 19565370 22593092 28241365 33889638 39130740 50834457 56482730 62131003 67779276 84724095 101668914 112965460 124262006 169448190 186393009 203337828 248524012 254172285 310655015 338896380 372786018 508344570 559179027 621310030 745572036 931965045 1016689140 1118358054 1242620060 1863930090 2236716108 2795895135 3727860180 5591790270 11183580540 111626819299 223253638598 334880457897 446507277196 558134096495 669760915794 1004641373691 1116268192990 1227895012289 1339521831588 1674402289485 2009282747382 2232536385980 2455790024578 3348804578970 3683685036867 4018565494764 4911580049156 5023206868455 6139475061445 6697609157940 7367370073734 10046413736910 11051055110601 12278950122890 14734740147468 18418425184335 20092827473820 22102110221202 24557900245780 36836850368670 44204220442404 55255275553005 73673700737340 110510551106010 221021102212020