1003003122 has 144 divisors (see below), whose sum is σ = 2407980960. Its totient is φ = 278087040.

The previous prime is 1003003121. The next prime is 1003003129. The reversal of 1003003122 is 2213003001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1003003098 and 1003003107.

It is not an unprimeable number, because it can be changed into a prime (1003003121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11269654 + ... + 11269742.

It is an arithmetic number, because the mean of its divisors is an integer number (16722090).

Almost surely, 2^1003003122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1003003122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1203990480).

1003003122 is an abundant number, since it is smaller than the sum of its proper divisors (1404977838).

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

1003003122 is a wasteful number, since it uses less digits than its factorization.

1003003122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1003003122 is about 31670.2245334636. The cubic root of 1003003122 is about 1001.0000402528. Note that the first 4 decimals are identical.

Adding to 1003003122 its reverse (2213003001), we get a palindrome (3216006123).

The spelling of 1003003122 in words is "one billion, three million, three thousand, one hundred twenty-two".