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110020044320 = 2553494674219
BaseRepresentation
bin110011001110110110…
…1001010011000100000
3101111222111010100000022
41212131231022120200
53300310112404240
6122313103213012
710643253642464
oct1463555123040
9344874110008
10110020044320
11427284a076a
12193a55a7168
13a4b46c7554
145479b204a4
152cddc569b5
hex199db4a620

110020044320 has 96 divisors (see below), whose sum is σ = 261287208000. Its totient is φ = 43777575936.

The previous prime is 110020044259. The next prime is 110020044341. The reversal of 110020044320 is 23440020011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26075171 + ... + 26079389.

It is an arithmetic number, because the mean of its divisors is an integer number (2721741750).

Almost surely, 2110020044320 is an apocalyptic number.

110020044320 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 110020044320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130643604000).

110020044320 is an abundant number, since it is smaller than the sum of its proper divisors (151267163680).

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

110020044320 is a wasteful number, since it uses less digits than its factorization.

110020044320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5050 (or 5042 counting only the distinct ones).

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

Adding to 110020044320 its reverse (23440020011), we get a palindrome (133460064331).

The spelling of 110020044320 in words is "one hundred ten billion, twenty million, forty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 349 467 698 934 1396 1745 1868 2335 2792 3490 3736 4219 4670 5584 6980 7472 8438 9340 11168 13960 14944 16876 18680 21095 27920 33752 37360 42190 55840 67504 74720 84380 135008 162983 168760 325966 337520 651932 675040 814915 1303864 1472431 1629830 1970273 2607728 2944862 3259660 3940546 5215456 5889724 6519320 7362155 7881092 9851365 11779448 13038640 14724310 15762184 19702730 23558896 26077280 29448620 31524368 39405460 47117792 58897240 63048736 78810920 117794480 157621840 235588960 315243680 687625277 1375250554 2750501108 3438126385 5501002216 6876252770 11002004432 13752505540 22004008864 27505011080 55010022160 110020044320