3011000000112 has 180 divisors, whose sum is σ = 9249682178880. Its totient is φ = 913769745408.

The previous prime is 3011000000111. The next prime is 3011000000137. The reversal of 3011000000112 is 2110000001103.

It is a super-2 number, since 2×3011000000112² (a number of 26 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3011000000094 and 3011000000103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3011000000111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 929089 + ... + 2623967.

It is an arithmetic number, because the mean of its divisors is an integer number (51387123216).

Almost surely, 2^{3011000000112} 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 3011000000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4624841089440).

3011000000112 is an abundant number, since it is smaller than the sum of its proper divisors (6238682178768).

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

3011000000112 is a wasteful number, since it uses less digits than its factorization.

3011000000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1694992 (or 1694970 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 3011000000112 its reverse (2110000001103), we get a palindrome (5121000001215).

Subtracting from 3011000000112 its reverse (2110000001103), we obtain a palindrome (900999999009).

The spelling of 3011000000112 in words is "three trillion, eleven billion, one hundred twelve", and thus it is an aban number.