1115141000 has 128 divisors (see below), whose sum is σ = 2693265120. Its totient is φ = 432000000.

The previous prime is 1115140991. The next prime is 1115141009. The reversal of 1115141000 is 1415111.

It is an interprime number because it is at equal distance from previous prime (1115140991) and next prime (1115141009).

It can be written as a sum of positive squares in 16 ways, for example, as 316626436 + 798514564 = 17794^2 + 28258^2 .

It is not an unprimeable number, because it can be changed into a prime (1115141009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6160910 + ... + 6161090.

Almost surely, 2^1115141000 is an apocalyptic number.

1115141000 is a gapful number since it is divisible by the number (10) 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 1115141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1346632560).

1115141000 is an abundant number, since it is smaller than the sum of its proper divisors (1578124120).

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

1115141000 is a wasteful number, since it uses less digits than its factorization.

1115141000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 14.

The square root of 1115141000 is about 33393.7269558221. The cubic root of 1115141000 is about 1036.9948380252.

Adding to 1115141000 its reverse (1415111), we get a palindrome (1116556111).

The spelling of 1115141000 in words is "one billion, one hundred fifteen million, one hundred forty-one thousand".