1001003140 has 48 divisors (see below), whose sum is σ = 2133586224. Its totient is φ = 394444800.

The previous prime is 1001003119. The next prime is 1001003141. The reversal of 1001003140 is 413001001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 99082116 + 901921024 = 9954^2 + 30032^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1001003141) 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 15 ways as a sum of consecutive naturals, for example, 466470 + ... + 468610.

It is an arithmetic number, because the mean of its divisors is an integer number (44449713).

Almost surely, 2^1001003140 is an apocalyptic number.

1001003140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001003140 is an abundant number, since it is smaller than the sum of its proper divisors (1132583084).

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

1001003140 is a wasteful number, since it uses less digits than its factorization.

1001003140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2488 (or 2486 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1001003140 is about 31638.6336620278. The cubic root of 1001003140 is about 1000.3342682523.

Adding to 1001003140 its reverse (413001001), we get a palindrome (1414004141).

The spelling of 1001003140 in words is "one billion, one million, three thousand, one hundred forty".