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220110012012 = 2231173107213481
BaseRepresentation
bin1100110011111110010…
…1000011111001101100
3210001010211211010212010
43030333211003321230
512101241130341022
6245041145241220
721621350142432
oct3147745037154
9701124733763
10220110012012
11853913aa940
12367aa493210
13179aa734777
14a920c42d52
155ad3bc150c
hex333f943e6c

220110012012 has 96 divisors (see below), whose sum is σ = 573265776384. Its totient is φ = 65171174400.

The previous prime is 220110012007. The next prime is 220110012041. The reversal of 220110012012 is 210210011022.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 924312 + ... + 1137792.

It is an arithmetic number, because the mean of its divisors is an integer number (5971518504).

Almost surely, 2220110012012 is an apocalyptic number.

220110012012 is a gapful number since it is divisible by the number (22) 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 220110012012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286632888192).

220110012012 is an abundant number, since it is smaller than the sum of its proper divisors (353155764372).

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

220110012012 is a wasteful number, since it uses less digits than its factorization.

220110012012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213679 (or 213677 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 220110012012 its reverse (210210011022), we get a palindrome (430320023034).

The spelling of 220110012012 in words is "two hundred twenty billion, one hundred ten million, twelve thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 73 107 132 146 214 219 292 321 428 438 642 803 876 1177 1284 1606 2354 2409 3212 3531 4708 4818 7062 7811 9636 14124 15622 23433 31244 46866 85921 93732 171842 213481 257763 343684 426962 515526 640443 853924 1031052 1280886 2348291 2561772 4696582 7044873 9393164 14089746 15584113 22842467 28179492 31168226 45684934 46752339 62336452 68527401 91369868 93504678 137054802 171425243 187009356 251267137 274109604 342850486 502534274 514275729 685700972 753801411 1005068548 1028551458 1507602822 1667500091 2057102916 3015205644 3335000182 5002500273 6670000364 10005000546 18342501001 20010001092 36685002002 55027503003 73370004004 110055006006 220110012012