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110420340200 = 23527316346399
BaseRepresentation
bin110011011010110010…
…0001010110111101000
3101120000101100110201122
41212311210022313220
53302120101341300
6122420523034412
710656214256042
oct1466544126750
9346011313648
10110420340200
1142913448a05
121949766ba08
13a549610711
1454b6d60a92
152d13e77c85
hex19b590ade8

110420340200 has 96 divisors (see below), whose sum is σ = 261846336000. Its totient is φ = 43294901760.

The previous prime is 110420340161. The next prime is 110420340287. The reversal of 110420340200 is 2043024011.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2356601 + ... + 2402999.

It is an arithmetic number, because the mean of its divisors is an integer number (2727566000).

Almost surely, 2110420340200 is an apocalyptic number.

110420340200 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 110420340200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130923168000).

110420340200 is an abundant number, since it is smaller than the sum of its proper divisors (151425995800).

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

110420340200 is a wasteful number, since it uses less digits than its factorization.

110420340200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46651 (or 46642 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 110420340200 its reverse (2043024011), we get a palindrome (112463364211).

The spelling of 110420340200 in words is "one hundred ten billion, four hundred twenty million, three hundred forty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 73 100 146 163 200 292 326 365 584 652 730 815 1304 1460 1630 1825 2920 3260 3650 4075 6520 7300 8150 11899 14600 16300 23798 32600 46399 47596 59495 92798 95192 118990 185596 231995 237980 297475 371192 463990 475960 594950 927980 1159975 1189900 1855960 2319950 2379800 3387127 4639900 6774254 7563037 9279800 13548508 15126074 16935635 27097016 30252148 33871270 37815185 60504296 67742540 75630370 84678175 135485080 151260740 169356350 189075925 302521480 338712700 378151850 552101701 677425400 756303700 1104203402 1512607400 2208406804 2760508505 4416813608 5521017010 11042034020 13802542525 22084068040 27605085050 55210170100 110420340200