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120110020200 = 23325266727789
BaseRepresentation
bin110111111011100011…
…1010111011001101000
3102111000200012012211200
41233313013113121220
53431441131121300
6131102222324200
711451303220002
oct1576707273150
9374020165750
10120110020200
1146a35a7aa05
121b340729660
13b431c28991
145b55bc5372
1531ce989200
hex1bf71d7668

120110020200 has 72 divisors (see below), whose sum is σ = 403369490550. Its totient is φ = 32029338240.

The previous prime is 120110020189. The next prime is 120110020201. The reversal of 120110020200 is 2020011021.

It can be written as a sum of positive squares in 3 ways, for example, as 67986390564 + 52123629636 = 260742^2 + 228306^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (120110020201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 33362095 + ... + 33365694.

Almost surely, 2120110020200 is an apocalyptic number.

120110020200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120110020200 is an abundant number, since it is smaller than the sum of its proper divisors (283259470350).

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

120110020200 is a wasteful number, since it uses less digits than its factorization.

120110020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66727811 (or 66727799 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 120110020200 its reverse (2020011021), we get a palindrome (122130031221).

The spelling of 120110020200 in words is "one hundred twenty billion, one hundred ten million, twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 66727789 133455578 200183367 266911156 333638945 400366734 533822312 600550101 667277890 800733468 1000916835 1201100202 1334555780 1601466936 1668194725 2001833670 2402200404 2669111560 3002750505 3336389450 4003667340 4804400808 5004584175 6005501010 6672778900 8007334680 10009168350 12011002020 13345557800 15013752525 20018336700 24022004040 30027505050 40036673400 60055010100 120110020200