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2010200010 = 2357213372843
BaseRepresentation
bin111011111010001…
…0011011111001010
312012002112202000020
41313310103133022
513104102400020
6531245321310
7100546263300
oct16764233712
95162482006
102010200010
11941784025
12481266236
13260608c80
14150d92270
15bb729c40
hex77d137ca

2010200010 has 192 divisors, whose sum is σ = 6209384832. Its totient is φ = 412521984.

The previous prime is 2010200009. The next prime is 2010200107. The reversal of 2010200010 is 100020102.

It is a happy number.

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

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 95 ways as a sum of consecutive naturals, for example, 705649 + ... + 708491.

It is an arithmetic number, because the mean of its divisors is an integer number (32340546).

Almost surely, 22010200010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2010200010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3104692416).

2010200010 is an abundant number, since it is smaller than the sum of its proper divisors (4199184822).

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

2010200010 is a wasteful number, since it uses less digits than its factorization.

2010200010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2917 (or 2910 counting only the distinct ones).

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

The square root of 2010200010 is about 44835.2540976406. The cubic root of 2010200010 is about 1262.0592868823.

Adding to 2010200010 its reverse (100020102), we get a palindrome (2110220112).

The spelling of 2010200010 in words is "two billion, ten million, two hundred thousand, ten".