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2102041200 = 24352735107
BaseRepresentation
bin111110101001010…
…1001101001110000
312102111100202102210
41331102221221300
513301110304300
6544330012120
7103043025000
oct17522515160
95374322383
102102041200
11989602736
124a7b77040
13276653c7c
1415d25c000
15c481c050
hex7d4a9a70

2102041200 has 240 divisors, whose sum is σ = 7854060800. Its totient is φ = 480372480.

The previous prime is 2102041199. The next prime is 2102041217. The reversal of 2102041200 is 21402012.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 409047 + ... + 414153.

Almost surely, 22102041200 is an apocalyptic number.

2102041200 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 2102041200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3927030400).

2102041200 is an abundant number, since it is smaller than the sum of its proper divisors (5752019600).

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

2102041200 is a wasteful number, since it uses less digits than its factorization.

2102041200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5149 (or 5124 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2102041200 is about 45848.0228581342. The cubic root of 2102041200 is about 1280.9939382794.

Adding to 2102041200 its reverse (21402012), we get a palindrome (2123443212).

The spelling of 2102041200 in words is "two billion, one hundred two million, forty-one thousand, two hundred".