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1103212220 = 22511113199223
BaseRepresentation
bin100000111000001…
…1010111010111100
32211212212222122212
41001300122322330
54224410242340
6301245355552
736224102105
oct10160327274
92755788585
101103212220
11516809740
12269568bb8
13147736ac6
14a67373ac
1566cbca65
hex41c1aebc

1103212220 has 96 divisors (see below), whose sum is σ = 2574028800. Its totient is φ = 393845760.

The previous prime is 1103212213. The next prime is 1103212237. The reversal of 1103212220 is 222123011.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1103212195 and 1103212204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4947029 + ... + 4947251.

It is an arithmetic number, because the mean of its divisors is an integer number (26812800).

Almost surely, 21103212220 is an apocalyptic number.

1103212220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1103212220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1287014400).

1103212220 is an abundant number, since it is smaller than the sum of its proper divisors (1470816580).

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

1103212220 is a wasteful number, since it uses less digits than its factorization.

1103212220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1103212220 is about 33214.6386402140. The cubic root of 1103212220 is about 1033.2839604112.

Adding to 1103212220 its reverse (222123011), we get a palindrome (1325335231).

The spelling of 1103212220 in words is "one billion, one hundred three million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 113 199 220 223 226 398 446 452 565 796 892 995 1115 1130 1243 1990 2189 2230 2260 2453 2486 3980 4378 4460 4906 4972 6215 8756 9812 10945 12265 12430 21890 22487 24530 24860 25199 43780 44377 44974 49060 50398 88754 89948 100796 112435 125995 177508 221885 224870 247357 251990 277189 443770 449740 488147 494714 503980 554378 887540 976294 989428 1108756 1236785 1385945 1952588 2440735 2473570 2771890 4881470 4947140 5014601 5543780 9762940 10029202 20058404 25073005 50146010 55160611 100292020 110321222 220642444 275803055 551606110 1103212220