1003142112 has 72 divisors (see below), whose sum is σ = 3063180456. Its totient is φ = 286610688.

The previous prime is 1003142111. The next prime is 1003142143. The reversal of 1003142112 is 2112413001.

It is a junction number, because it is equal to n+sod(n) for n = 1003142091 and 1003142100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003142111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 101923 + ... + 111330.

It is an arithmetic number, because the mean of its divisors is an integer number (42544173).

Almost surely, 2^1003142112 is an apocalyptic number.

1003142112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1003142112 is an abundant number, since it is smaller than the sum of its proper divisors (2060038344).

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

1003142112 is a wasteful number, since it uses less digits than its factorization.

1003142112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213280 (or 213265 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1003142112 is about 31672.4187898556. The cubic root of 1003142112 is about 1001.0462755923.

Adding to 1003142112 its reverse (2112413001), we get a palindrome (3115555113).

The spelling of 1003142112 in words is "one billion, three million, one hundred forty-two thousand, one hundred twelve".