3000213000 has 128 divisors (see below), whose sum is σ = 10400832000. Its totient is φ = 800049600.

The previous prime is 3000212987. The next prime is 3000213017. The reversal of 3000213000 is 3120003.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28560 + ... + 82559.

It is an arithmetic number, because the mean of its divisors is an integer number (81256500).

Almost surely, 2^3000213000 is an apocalyptic number.

3000213000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3000213000 is an abundant number, since it is smaller than the sum of its proper divisors (7400619000).

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

3000213000 is a wasteful number, since it uses less digits than its factorization.

3000213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111149 (or 111129 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 3000213000 is about 54774.2001310836. The cubic root of 3000213000 is about 1442.2837027395.

Adding to 3000213000 its reverse (3120003), we get a palindrome (3003333003).

It can be divided in two parts, 3000 and 213000, that added together give a cube (216000 = 60³).

The spelling of 3000213000 in words is "three billion, two hundred thirteen thousand".