3111141000 has 256 divisors, whose sum is σ = 11052288000. Its totient is φ = 721248000.

The previous prime is 3111140957. The next prime is 3111141017. The reversal of 3111141000 is 1411113.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 756951 + ... + 761049.

It is an arithmetic number, because the mean of its divisors is an integer number (43173000).

Almost surely, 2^3111141000 is an apocalyptic number.

3111141000 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 3111141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5526144000).

3111141000 is an abundant number, since it is smaller than the sum of its proper divisors (7941147000).

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

3111141000 is a wasteful number, since it uses less digits than its factorization.

3111141000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4157 (or 4143 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 3111141000 is about 55777.6030320415. The cubic root of 3111141000 is about 1459.8443882439.

Adding to 3111141000 its reverse (1411113), we get a palindrome (3112552113).

The spelling of 3111141000 in words is "three billion, one hundred eleven million, one hundred forty-one thousand".