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110201020200 = 23325261222789
BaseRepresentation
bin110011010100001111…
…1100001111100101000
3101112110002122212020200
41212220133201330220
53301142430121300
6122343050152200
710650612134115
oct1465037417450
9345402585220
10110201020200
114281066a607
1219436122660
13a51305067b
145495b8d90c
152ceeaa4200
hex19a87e1f28

110201020200 has 72 divisors (see below), whose sum is σ = 370091765550. Its totient is φ = 29386938240.

The previous prime is 110201020183. The next prime is 110201020207. The reversal of 110201020200 is 2020102011.

110201020200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 95588562276 + 14612457924 = 309174^2 + 120882^2 .

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 (110201020207) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 30609595 + ... + 30613194.

Almost surely, 2110201020200 is an apocalyptic number.

110201020200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110201020200 is an abundant number, since it is smaller than the sum of its proper divisors (259890745350).

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

110201020200 is a wasteful number, since it uses less digits than its factorization.

110201020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61222811 (or 61222799 counting only the distinct ones).

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

Adding to 110201020200 its reverse (2020102011), we get a palindrome (112221122211).

The spelling of 110201020200 in words is "one hundred ten billion, two hundred one 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 61222789 122445578 183668367 244891156 306113945 367336734 489782312 551005101 612227890 734673468 918341835 1102010202 1224455780 1469346936 1530569725 1836683670 2204020404 2448911560 2755025505 3061139450 3673367340 4408040808 4591709175 5510051010 6122278900 7346734680 9183418350 11020102020 12244557800 13775127525 18366836700 22040204040 27550255050 36733673400 55100510100 110201020200