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220110111012 = 2231129503911411
BaseRepresentation
bin1100110011111110010…
…1011100000100100100
3210001010212000011122210
43030333211130010210
512101241142023022
6245041151323420
721621351034161
oct3147745340444
9701125004583
10220110111012
1185391468260
12367aa520570
13179aa76a84c
14a920c6b068
155ad3be0a0c
hex333f95c124

220110111012 has 96 divisors (see below), whose sum is σ = 579766118400. Its totient is φ = 64381609600.

The previous prime is 220110110999. The next prime is 220110111019. The reversal of 220110111012 is 210111011022.

220110111012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (220110111019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19283587 + ... + 19294997.

It is an arithmetic number, because the mean of its divisors is an integer number (6039230400).

Almost surely, 2220110111012 is an apocalyptic number.

220110111012 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 220110111012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289883059200).

220110111012 is an abundant number, since it is smaller than the sum of its proper divisors (359656007388).

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

220110111012 is a wasteful number, since it uses less digits than its factorization.

220110111012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16497 (or 16495 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 220110111012 its reverse (210111011022), we get a palindrome (430221122034).

The spelling of 220110111012 in words is "two hundred twenty billion, one hundred ten million, one hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 132 174 319 348 638 957 1276 1914 3828 5039 10078 11411 15117 20156 22822 30234 34233 45644 55429 60468 68466 110858 125521 136932 146131 166287 221716 251042 292262 330919 332574 376563 438393 502084 584524 661838 665148 753126 876786 992757 1323676 1506252 1607441 1753572 1985514 3214882 3640109 3971028 4822323 6429764 7280218 9644646 10920327 14560436 19289292 21840654 43681308 57500029 115000058 172500087 230000116 345000174 632500319 690000348 1265000638 1667500841 1897500957 2530001276 3335001682 3795001914 5002502523 6670003364 7590003828 10005005046 18342509251 20010010092 36685018502 55027527753 73370037004 110055055506 220110111012