2000310100 has 108 divisors (see below), whose sum is σ = 4714362324. Its totient is φ = 733890560.

The previous prime is 2000310089. The next prime is 2000310127. The reversal of 2000310100 is 10130002.

It can be written as a sum of positive squares in 18 ways, for example, as 1590733456 + 409576644 = 39884^2 + 20238^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13424826 + ... + 13424974.

It is an arithmetic number, because the mean of its divisors is an integer number (43651503).

Almost surely, 2^2000310100 is an apocalyptic number.

2000310100 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 2000310100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2357181162).

2000310100 is an abundant number, since it is smaller than the sum of its proper divisors (2714052224).

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

2000310100 is a wasteful number, since it uses less digits than its factorization.

2000310100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 2000310100 is about 44724.8264390148. The cubic root of 2000310100 is about 1259.9861634493.

Adding to 2000310100 its reverse (10130002), we get a palindrome (2010440102).

It can be divided in two parts, 20003 and 10100, that added together give a palindrome (30103).

The spelling of 2000310100 in words is "two billion, three hundred ten thousand, one hundred".