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21212102211021 = 3319596797107837
BaseRepresentation
bin1001101001010110100111…
…10100010011010111001101
32210002212010212121122011000
410310223103310103113031
510240014341131223041
6113040412155050513
74316344444562661
oct464532364232715
983085125548130
1021212102211021
116839002777417
12246706a140a39
13bab3a5c6c247
14534957bac8a1
1526bb97281bb6
hex134ad3d135cd

21212102211021 has 128 divisors (see below), whose sum is σ = 34494356736000. Its totient is φ = 12839613253632.

The previous prime is 21212102210993. The next prime is 21212102211023. The reversal of 21212102211021 is 12011220121212.

21212102211021 is a `hidden beast` number, since 212 + 1 + 210 + 221 + 1 + 0 + 21 = 666.

It is not a de Polignac number, because 21212102211021 - 243 = 12416009188813 is a prime.

It is a super-3 number, since 3×212121022110213 (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21212102210985 and 21212102211003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21212102211023) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 196651315 + ... + 196759151.

It is an arithmetic number, because the mean of its divisors is an integer number (269487162000).

Almost surely, 221212102211021 is an apocalyptic number.

It is an amenable number.

21212102211021 is a deficient number, since it is larger than the sum of its proper divisors (13282254524979).

21212102211021 is a wasteful number, since it uses less digits than its factorization.

21212102211021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108088 (or 108082 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 21212102211021 its reverse (12011220121212), we get a palindrome (33223322332233).

The spelling of 21212102211021 in words is "twenty-one trillion, two hundred twelve billion, one hundred two million, two hundred eleven thousand, twenty-one".

Divisors: 1 3 9 19 27 57 59 67 97 171 177 201 291 513 531 603 873 1121 1273 1593 1809 1843 2619 3363 3819 3953 5529 5723 6499 10089 11457 11859 16587 17169 19497 30267 34371 35577 49761 51507 58491 75107 106731 107837 108737 123481 154521 175473 225321 323511 326211 370443 383441 675963 970533 978633 1111329 1150323 2027889 2048903 2911599 2935899 3333987 3450969 6146709 6362383 7225079 7285379 10352907 10460189 18440127 19087149 21675237 21856137 31380567 55320381 57261447 65025711 65568411 94141701 120885277 137276501 171784341 195077133 196705233 198743591 282425103 362655831 411829503 426279661 596230773 617151151 700832663 1087967493 1235488509 1278838983 1788692319 1851453453 2102497989 3263902479 3706465527 3836516949 5366076957 5554360359 6307493967 8099313559 11509550847 11725871869 13315820597 16663081077 18922481901 24297940677 35177615607 39947461791 41349127117 72893822031 105532846821 119842385373 124047381351 218681466093 316598540463 359527156119 372142144053 785633415223 1116426432159 2356900245669 7070700737007 21212102211021