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201110202200 = 235210743921407
BaseRepresentation
bin1011101101001100011…
…0100010011101011000
3201020002201022210121102
42323103012202131120
511243333202432300
6232215545330532
720346461341055
oct2732306423530
9636081283542
10201110202200
1178321514586
1232b87496a48
1315c7033275b
149a3b71802c
155370b730d5
hex2ed31a2758

201110202200 has 96 divisors (see below), whose sum is σ = 473048294400. Its totient is φ = 79507021440.

The previous prime is 201110202197. The next prime is 201110202217. The reversal of 201110202200 is 2202011102.

It is a happy number.

201110202200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 9383897 + ... + 9405303.

It is an arithmetic number, because the mean of its divisors is an integer number (4927586400).

Almost surely, 2201110202200 is an apocalyptic number.

201110202200 is a gapful number since it is divisible by the number (20) 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 201110202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236524147200).

201110202200 is an abundant number, since it is smaller than the sum of its proper divisors (271938092200).

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

201110202200 is a wasteful number, since it uses less digits than its factorization.

201110202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21969 (or 21960 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 201110202200 its reverse (2202011102), we get a palindrome (203312213302).

The spelling of 201110202200 in words is "two hundred one billion, one hundred ten million, two hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 107 200 214 428 439 535 856 878 1070 1756 2140 2195 2675 3512 4280 4390 5350 8780 10700 10975 17560 21400 21407 21950 42814 43900 46973 85628 87800 93946 107035 171256 187892 214070 234865 375784 428140 469730 535175 856280 939460 1070350 1174325 1878920 2140700 2290549 2348650 4281400 4581098 4697300 9162196 9394600 9397673 11452745 18324392 18795346 22905490 37590692 45810980 46988365 57263725 75181384 91621960 93976730 114527450 187953460 229054900 234941825 375906920 458109800 469883650 939767300 1005551011 1879534600 2011102022 4022204044 5027755055 8044408088 10055510110 20111020220 25138775275 40222040440 50277550550 100555101100 201110202200