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201101001200 = 24521145704773
BaseRepresentation
bin1011101101001010001…
…1011100000111110000
3201020002002000100012122
42323102203130013300
511243323324014300
6232215020213412
720346320210021
oct2732243340760
9636062010178
10201101001200
11783172aa750
1232b8439a268
1315c6b460788
149a3a400c48
15536ee56c85
hex2ed28dc1f0

201101001200 has 60 divisors (see below), whose sum is σ = 527067453768. Its totient is φ = 73127635200.

The previous prime is 201101001197. The next prime is 201101001223. The reversal of 201101001200 is 2100101102.

201101001200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2011010012002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

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 11 ways as a sum of consecutive naturals, for example, 22847987 + ... + 22856786.

Almost surely, 2201101001200 is an apocalyptic number.

201101001200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201101001200 is an abundant number, since it is smaller than the sum of its proper divisors (325966452568).

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

201101001200 is a wasteful number, since it uses less digits than its factorization.

201101001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45704802 (or 45704791 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 201101001200 its reverse (2100101102), we get a palindrome (203201102302).

The spelling of 201101001200 in words is "two hundred one billion, one hundred one million, one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 4400 45704773 91409546 182819092 228523865 365638184 457047730 502752503 731276368 914095460 1005505006 1142619325 1828190920 2011010012 2285238650 2513762515 3656381840 4022020024 4570477300 5027525030 8044040048 9140954600 10055050060 12568812575 18281909200 20110100120 25137625150 40220200240 50275250300 100550500600 201101001200