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2102001200 = 2452132953263
BaseRepresentation
bin111110101001001…
…1111111000110000
312102111021201120022
41331102133320300
513301103014300
6544325103012
7103042500245
oct17522377060
95374251508
102102001200
11989585682
124a7b57a68
1327663b9c0
1415d24b5cc
15c4810285
hex7d49fe30

2102001200 has 240 divisors, whose sum is σ = 5754006720. Its totient is φ = 732426240.

The previous prime is 2102001169. The next prime is 2102001203. The reversal of 2102001200 is 21002012.

2102001200 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102001203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7992269 + ... + 7992531.

It is an arithmetic number, because the mean of its divisors is an integer number (23975028).

Almost surely, 22102001200 is an apocalyptic number.

2102001200 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 2102001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2877003360).

2102001200 is an abundant number, since it is smaller than the sum of its proper divisors (3652005520).

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

2102001200 is a wasteful number, since it uses less digits than its factorization.

2102001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 365 counting only the distinct ones).

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

The square root of 2102001200 is about 45847.5866322318. The cubic root of 2102001200 is about 1280.9858128309.

Adding to 2102001200 its reverse (21002012), we get a palindrome (2123003212).

The spelling of 2102001200 in words is "two billion, one hundred two million, one thousand, two hundred".