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110020221100 = 225219144912829
BaseRepresentation
bin110011001110110110…
…1110101100010101100
3101111222111110022111201
41212131231311202230
53300310134033400
6122313111055244
710643255310046
oct1463555654254
9344874408451
10110020221100
1142728601569
12193a5671524
13a4b4759b5a
145479b68a96
152cddc8e06a
hex199db758ac

110020221100 has 72 divisors (see below), whose sum is σ = 240547104000. Its totient is φ = 43676774400.

The previous prime is 110020221037. The next prime is 110020221119. The reversal of 110020221100 is 1122020011.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8569486 + ... + 8582314.

It is an arithmetic number, because the mean of its divisors is an integer number (3340932000).

Almost surely, 2110020221100 is an apocalyptic number.

110020221100 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 110020221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120273552000).

110020221100 is an abundant number, since it is smaller than the sum of its proper divisors (130526882900).

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

110020221100 is a wasteful number, since it uses less digits than its factorization.

110020221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13483 (or 13476 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 110020221100 its reverse (1122020011), we get a palindrome (111142241111).

The spelling of 110020221100 in words is "one hundred ten billion, twenty million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 191 382 449 764 898 955 1796 1910 2245 3820 4490 4775 8980 9550 11225 12829 19100 22450 25658 44900 51316 64145 85759 128290 171518 256580 320725 343036 428795 641450 857590 1282900 1715180 2143975 2450339 4287950 4900678 5760221 8575900 9801356 11520442 12251695 23040884 24503390 28801105 49006780 57602210 61258475 115204420 122516950 144005525 245033900 288011050 576022100 1100202211 2200404422 4400808844 5501011055 11002022110 22004044220 27505055275 55010110550 110020221100