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21021111121122 = 232741123433123
BaseRepresentation
bin1001100011110010110111…
…10111000111010011100010
32202102121011101012000000200
410301321123313013103202
510223402213421333442
6112412544245130030
74266503505240000
oct461713367072342
982377141160020
1021021111121122
116775004232772
1224360476b9916
13b963891ccb08
145295da381a70
15266c19b9934c
hex131e5bdc74e2

21021111121122 has 120 divisors (see below), whose sum is σ = 53180972682864. Its totient is φ = 6000669691632.

The previous prime is 21021111121097. The next prime is 21021111121123. The reversal of 21021111121122 is 22112111112012.

It is a happy number.

21021111121122 is a `hidden beast` number, since 210 + 211 + 1 + 1 + 121 + 122 = 666.

It is a super-2 number, since 2×210211111211222 (a number of 27 digits) contains 22 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 = 21021111121095 and 21021111121104.

It is not an unprimeable number, because it can be changed into a prime (21021111121123) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 48317253 + ... + 48750375.

Almost surely, 221021111121122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21021111121122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26590486341432).

21021111121122 is an abundant number, since it is smaller than the sum of its proper divisors (32159861561742).

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

21021111121122 is a wasteful number, since it uses less digits than its factorization.

21021111121122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434282 (or 434258 counting only the distinct ones).

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

Adding to 21021111121122 its reverse (22112111112012), we get a palindrome (43133222233134).

The spelling of 21021111121122 in words is "twenty-one trillion, twenty-one billion, one hundred eleven million, one hundred twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 343 441 686 882 1029 1123 2058 2246 2401 3087 3369 4802 6174 6738 7203 7861 10107 14406 15722 20214 21609 23583 43218 47166 55027 70749 110054 141498 165081 330162 385189 433123 495243 770378 866246 990486 1155567 1299369 2311134 2598738 2696323 3031861 3466701 3898107 5392646 6063722 6933402 7796214 8088969 9095583 16177938 18191166 21223027 24266907 27286749 42446054 48533814 54573498 63669081 127338162 148561189 191007243 297122378 382014486 445683567 486397129 891367134 972794258 1039928323 1337050701 1459191387 2079856646 2674101402 2918382774 3119784969 3404779903 4377574161 6239569938 6809559806 8755148322 9359354907 10214339709 18718709814 20428679418 23833459321 30643019127 47666918642 61286038254 71500377963 143000755926 166834215247 214501133889 333668430494 429002267778 500502645741 1001005291482 1167839506729 1501507937223 2335679013458 3003015874446 3503518520187 7007037040374 10510555560561 21021111121122