Search a number
-
+
221110112021220 = 223254283286805863
BaseRepresentation
bin110010010001100100110101…
…101011101110101011100100
31001222212220211212201020022100
4302101210311223232223210
5212440132002134134340
62102132325544532100
764400451461666412
oct6221446553565344
91058786755636270
10221110112021220
11644a82a99a8604
1220970755181030
13964b7952ca696
143c85b0230c2b2
151a868ac510830
hexc91935aeeae4

221110112021220 has 72 divisors (see below), whose sum is σ = 670857271471296. Its totient is φ = 58948929652032.

The previous prime is 221110112021191. The next prime is 221110112021273. The reversal of 221110112021220 is 22120211011122.

221110112021220 is a `hidden beast` number, since 2 + 211 + 101 + 120 + 212 + 20 = 666.

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 = 221110112021193 and 221110112021202.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142631992 + ... + 144173871.

It is an arithmetic number, because the mean of its divisors is an integer number (9317462103768).

Almost surely, 2221110112021220 is an apocalyptic number.

221110112021220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221110112021220 is an abundant number, since it is smaller than the sum of its proper divisors (449747159450076).

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

221110112021220 is a wasteful number, since it uses less digits than its factorization.

221110112021220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286810161 (or 286810156 counting only the distinct ones).

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

Adding to 221110112021220 its reverse (22120211011122), we get a palindrome (243230323032342).

The spelling of 221110112021220 in words is "two hundred twenty-one trillion, one hundred ten billion, one hundred twelve million, twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 4283 8566 12849 17132 21415 25698 38547 42830 51396 64245 77094 85660 128490 154188 192735 256980 385470 770940 286805863 573611726 860417589 1147223452 1434029315 1720835178 2581252767 2868058630 3441670356 4302087945 5162505534 5736117260 8604175890 10325011068 12906263835 17208351780 25812527670 51625055340 1228389511229 2456779022458 3685168533687 4913558044916 6141947556145 7370337067374 11055505601061 12283895112290 14740674134748 18425842668435 22111011202122 24567790224580 36851685336870 44222022404244 55277528005305 73703370673740 110555056010610 221110112021220