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220110210012 = 223711599397687
BaseRepresentation
bin1100110011111110010…
…1110100001111011100
3210001010212012012110110
43030333211310033130
512101241203210022
6245041153410020
721621351625620
oct3147745641734
9701125165413
10220110210012
1185391525680
12367aa569910
13179aa7a3924
14a920c95180
155ad3c1000c
hex333f9743dc

220110210012 has 96 divisors (see below), whose sum is σ = 641391206400. Its totient is φ = 57075894720.

The previous prime is 220110210011. The next prime is 220110210037. The reversal of 220110210012 is 210012011022.

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

It is a self number, because there is not a number n which added to its sum of digits gives 220110210012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220110210011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 354633 + ... + 752319.

It is an arithmetic number, because the mean of its divisors is an integer number (6681158400).

Almost surely, 2220110210012 is an apocalyptic number.

220110210012 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 220110210012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320695603200).

220110210012 is an abundant number, since it is smaller than the sum of its proper divisors (421280996388).

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

220110210012 is a wasteful number, since it uses less digits than its factorization.

220110210012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398311 (or 398309 counting only the distinct ones).

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

Adding to 220110210012 its reverse (210012011022), we get a palindrome (430122221034).

The spelling of 220110210012 in words is "two hundred twenty billion, one hundred ten million, two hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 599 924 1198 1797 2396 3594 4193 6589 7188 8386 12579 13178 16772 19767 25158 26356 39534 46123 50316 79068 92246 138369 184492 276738 397687 553476 795374 1193061 1590748 2386122 2783809 4374557 4772244 5567618 8351427 8749114 11135236 13123671 16702854 17498228 26247342 30621899 33405708 52494684 61243798 91865697 122487596 183731394 238214513 367462788 476429026 714643539 952858052 1429287078 1667501591 2620359643 2858574156 3335003182 5002504773 5240719286 6670006364 7861078929 10005009546 10481438572 15722157858 18342517501 20010019092 31444315716 36685035002 55027552503 73370070004 110055105006 220110210012