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21222121101012 = 223213127357058367
BaseRepresentation
bin1001101001101001010001…
…11111010101011011010100
32210010211000002220222110200
410310310220333111123110
510240200401000213022
6113045150254420500
74320150642001536
oct464645077253324
983124002828420
1021222121101012
116842284113797
122468ba5501730
13bac311841810
1453522864b856
1526c081b21bac
hex134d28fd56d4

21222121101012 has 72 divisors (see below), whose sum is σ = 58226222186496. Its totient is φ = 6478466992704.

The previous prime is 21222121101011. The next prime is 21222121101079. The reversal of 21222121101012 is 21010112122212.

21222121101012 is a `hidden beast` number, since 212 + 221 + 211 + 0 + 10 + 12 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21222121101011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 178469748 + ... + 178588619.

It is an arithmetic number, because the mean of its divisors is an integer number (808697530368).

Almost surely, 221222121101012 is an apocalyptic number.

It is an amenable number.

21222121101012 is an abundant number, since it is smaller than the sum of its proper divisors (37004101085484).

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

21222121101012 is a wasteful number, since it uses less digits than its factorization.

21222121101012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357058517 (or 357058512 counting only the distinct ones).

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

Adding to 21222121101012 its reverse (21010112122212), we get a palindrome (42232233223224).

The spelling of 21222121101012 in words is "twenty-one trillion, two hundred twenty-two billion, one hundred twenty-one million, one hundred one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 127 156 234 254 381 468 508 762 1143 1524 1651 2286 3302 4572 4953 6604 9906 14859 19812 29718 59436 357058367 714116734 1071175101 1428233468 2142350202 3213525303 4284700404 4641758771 6427050606 9283517542 12854101212 13925276313 18567035084 27850552626 41775828939 45346412609 55701105252 83551657878 90692825218 136039237827 167103315756 181385650436 272078475654 408117713481 544156951308 589503363917 816235426962 1179006727834 1632470853924 1768510091751 2358013455668 3537020183502 5305530275253 7074040367004 10611060550506 21222121101012