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2101244200 = 23521117192957
BaseRepresentation
bin111110100111110…
…0111000100101000
312102102212021011021
41331033213010220
513300404303300
6544300542224
7103033165246
oct17517470450
95372767137
102101244200
11989108960
124a7851974
13276435283
1415d0d1796
15c4710d1a
hex7d3e7128

2101244200 has 192 divisors, whose sum is σ = 5942030400. Its totient is φ = 681062400.

The previous prime is 2101244161. The next prime is 2101244203. The reversal of 2101244200 is 24421012.

2101244200 = T7448 + T7449 + ... + T7522.

It is not an unprimeable number, because it can be changed into a prime (2101244203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 709122 + ... + 712078.

It is an arithmetic number, because the mean of its divisors is an integer number (30948075).

Almost surely, 22101244200 is an apocalyptic number.

2101244200 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 2101244200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2971015200).

2101244200 is an abundant number, since it is smaller than the sum of its proper divisors (3840786200).

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

2101244200 is a wasteful number, since it uses less digits than its factorization.

2101244200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3020 (or 3011 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2101244200 is about 45839.3302743397. The cubic root of 2101244200 is about 1280.8320192791.

Adding to 2101244200 its reverse (24421012), we get a palindrome (2125665212).

The spelling of 2101244200 in words is "two billion, one hundred one million, two hundred forty-four thousand, two hundred".