3100010000 has 100 divisors (see below), whose sum is σ = 7689510444. Its totient is φ = 1209600000.

The previous prime is 3100009981. The next prime is 3100010003. The reversal of 3100010000 is 100013.

It can be written as a sum of positive squares in 10 ways, for example, as 3079362064 + 20647936 = 55492^2 + 4544^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×3100010000² = 19220124000200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is not an unprimeable number, because it can be changed into a prime (3100010003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 406220 + ... + 413780.

Almost surely, 2^3100010000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3100010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3844755222).

3100010000 is an abundant number, since it is smaller than the sum of its proper divisors (4589500444).

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

3100010000 is an equidigital number, since it uses as much as digits as its factorization.

3100010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7630 (or 7609 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 5.

The square root of 3100010000 is about 55677.7334308788. The cubic root of 3100010000 is about 1458.1013036742.

Adding to 3100010000 its reverse (100013), we get a palindrome (3100110013).

The spelling of 3100010000 in words is "three billion, one hundred million, ten thousand".