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2001100200 = 2335211476451
BaseRepresentation
bin111011101000110…
…0101110110101000
312011110102102102020
41313101211312220
513044240201300
6530322304440
7100406033241
oct16721456650
95143372366
102001100200
11937629220
1247a1b8120
1325b771078
1414daa3cc8
15baa2d8a0
hex77465da8

2001100200 has 192 divisors, whose sum is σ = 6912414720. Its totient is φ = 474720000.

The previous prime is 2001100187. The next prime is 2001100207. The reversal of 2001100200 is 20011002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (2001100207) 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, 306975 + ... + 313425.

It is an arithmetic number, because the mean of its divisors is an integer number (36002160).

Almost surely, 22001100200 is an apocalyptic number.

2001100200 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 2001100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3456207360).

2001100200 is an abundant number, since it is smaller than the sum of its proper divisors (4911314520).

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

2001100200 is a wasteful number, since it uses less digits than its factorization.

2001100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6528 (or 6519 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 2001100200 is about 44733.6584687638. The cubic root of 2001100200 is about 1260.1520350683.

Adding to 2001100200 its reverse (20011002), we get a palindrome (2021111202).

2001100200 divided by its reverse (20011002) gives a square (100 = 102).

It can be divided in two parts, 2001 and 100200, that added together give a palindrome (102201).

The spelling of 2001100200 in words is "two billion, one million, one hundred thousand, two hundred".