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21210221111121 = 32721031514636679
BaseRepresentation
bin1001101001010011000111…
…01100011110011101010001
32210002200021202222212012100
410310221203230132131101
510240002013101023441
6113035501400351013
74316250023521500
oct464514354363521
983080252885170
1021210221111121
1168382279601a9
122466824175469
13bab166325293
1453481a024837
1526bad7058cb6
hex134a63b1e751

21210221111121 has 144 divisors (see below), whose sum is σ = 36306934210560. Its totient is φ = 11895435921600.

The previous prime is 21210221111117. The next prime is 21210221111129. The reversal of 21210221111121 is 12111112201212.

It is a happy number.

21210221111121 is a `hidden beast` number, since 2 + 1 + 210 + 221 + 111 + 121 = 666.

It is not a de Polignac number, because 21210221111121 - 22 = 21210221111117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21210221111094 and 21210221111103.

It is not an unprimeable number, because it can be changed into a prime (21210221111129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3175654860 + ... + 3175661538.

Almost surely, 221210221111121 is an apocalyptic number.

21210221111121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21210221111121 is a deficient number, since it is larger than the sum of its proper divisors (15096713099439).

21210221111121 is a wasteful number, since it uses less digits than its factorization.

21210221111121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7416 (or 7406 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 21210221111121 its reverse (12111112201212), we get a palindrome (33321333312333).

The spelling of 21210221111121 in words is "twenty-one trillion, two hundred ten billion, two hundred twenty-one million, one hundred eleven thousand, one hundred twenty-one".

Divisors: 1 3 7 9 21 49 63 103 147 151 309 441 453 463 721 927 1057 1359 1389 2163 3171 3241 4167 5047 6489 6679 7399 9513 9723 15141 15553 20037 22197 22687 29169 45423 46659 46753 47689 60111 66591 68061 69913 108871 139977 140259 143067 204183 209739 326613 327271 333823 420777 429201 489391 629217 687937 762097 979839 981813 1001469 1008529 1468173 2063811 2286291 2336761 2945439 3004407 3025587 3092377 3425737 4404519 4815559 6191433 6858873 7010283 7059703 7201039 9076761 9277131 10277211 14446677 21030849 21179109 21603117 21646639 27831393 30831633 33708913 43340031 49417921 50407273 63537327 64809351 64939917 101126739 103878487 148253763 151221819 151526473 194819751 303380217 311635461 318514831 352850911 444761289 453665457 454579419 466948927 727149409 934906383 955544493 1058552733 1363738257 1400846781 2181448227 2229603817 2866633479 3175658199 3268642489 4202540343 5090045863 6544344681 6688811451 9805927467 15270137589 15607226719 20066434353 22880497423 29417782401 45810412767 46821680157 48095739481 68641492269 140465040471 144287218443 205924476807 336670176367 432861655329 1010010529101 2356691234569 3030031587303 7070073703707 21210221111121