3130002000 has 300 divisors, whose sum is σ = 11387720916. Its totient is φ = 828662400.

The previous prime is 3130001983. The next prime is 3130002023. The reversal of 3130002000 is 2000313.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 100160064 + 3029841936 = 10008^2 + 55044^2 .

It is a tau number, because it is divible by the number of its divisors (300).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 22517931 + ... + 22518069.

Almost surely, 2^3130002000 is an apocalyptic number.

3130002000 is a gapful number since it is divisible by the number (30) 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 3130002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5693860458).

3130002000 is an abundant number, since it is smaller than the sum of its proper divisors (8257718916).

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

3130002000 is an equidigital number, since it uses as much as digits as its factorization.

3130002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 149 counting only the distinct ones).

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

The square root of 3130002000 is about 55946.4207970447. The cubic root of 3130002000 is about 1462.7885032418.

Adding to 3130002000 its reverse (2000313), we get a palindrome (3132002313).

The spelling of 3130002000 in words is "three billion, one hundred thirty million, two thousand".