Search a number
-
+
21033221011110 = 23257211433585261
BaseRepresentation
bin1001100100001001011011…
…01010101011011010100110
32202110202102100002011002200
410302010231222223122212
510224102014034323420
6112422310042115330
74300412552506500
oct462045552533246
982422370064080
1021033221011110
11677a158a20310
1224384671abb46
13b9756905b8a9
1452a028806d70
152671c7dc4b90
hex13212daab6a6

21033221011110 has 144 divisors (see below), whose sum is σ = 69397922694672. Its totient is φ = 4370539420800.

The previous prime is 21033221011091. The next prime is 21033221011193. The reversal of 21033221011110 is 1111012233012.

21033221011110 is a `hidden beast` number, since 2 + 1 + 0 + 332 + 210 + 11 + 110 = 666.

It is a super-3 number, since 3×210332210111103 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 216744121 + ... + 216841140.

It is an arithmetic number, because the mean of its divisors is an integer number (481930018713).

Almost surely, 221033221011110 is an apocalyptic number.

21033221011110 is an abundant number, since it is smaller than the sum of its proper divisors (48364701683562).

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

21033221011110 is a wasteful number, since it uses less digits than its factorization.

21033221011110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433585299 (or 433585289 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 21033221011110 its reverse (1111012233012), we get a palindrome (22144233244122).

The spelling of 21033221011110 in words is "twenty-one trillion, thirty-three billion, two hundred twenty-one million, eleven thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 9 10 11 14 15 18 21 22 30 33 35 42 45 49 55 63 66 70 77 90 98 99 105 110 126 147 154 165 198 210 231 245 294 315 330 385 441 462 490 495 539 630 693 735 770 882 990 1078 1155 1386 1470 1617 2205 2310 2695 3234 3465 4410 4851 5390 6930 8085 9702 16170 24255 48510 433585261 867170522 1300755783 2167926305 2601511566 3035096827 3902267349 4335852610 4769437871 6070193654 6503778915 7804534698 9105290481 9538875742 13007557830 14308313613 15175484135 18210580962 19511336745 21245677789 23847189355 27315871443 28616627226 30350968270 33386065097 39022673490 42491355578 42924940839 45526452405 47694378710 54631742886 63737033367 66772130194 71541568065 85849881678 91052904810 100158195291 106228388945 127474066734 136579357215 143083136130 166930325485 191211100101 200316390582 212456777890 214624704195 233702455679 273158714430 300474585873 318685166835 333860650970 382422200202 429249408390 467404911358 500790976455 600949171746 637370333670 701107367037 956055500505 1001581952910 1168512278395 1402214734074 1502372929365 1912111001010 2103322101111 2337024556790 3004745858730 3505536835185 4206644202222 7011073670370 10516610505555 21033221011110