1003002114 has 32 divisors (see below), whose sum is σ = 2029196160. Its totient is φ = 330480000.

The previous prime is 1003002113. The next prime is 1003002151. The reversal of 1003002114 is 4112003001.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1003002114.

It is not an unprimeable number, because it can be changed into a prime (1003002113) 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, 556014 + ... + 557814.

It is an arithmetic number, because the mean of its divisors is an integer number (63412380).

Almost surely, 2^1003002114 is an apocalyptic number.

1003002114 is an abundant number, since it is smaller than the sum of its proper divisors (1026194046).

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

1003002114 is a wasteful number, since it uses less digits than its factorization.

1003002114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2826.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1003002114 is about 31670.2086194581. The cubic root of 1003002114 is about 1000.9997049237. Note that the first 3 decimals are identical.

Adding to 1003002114 its reverse (4112003001), we get a palindrome (5115005115).

The spelling of 1003002114 in words is "one billion, three million, two thousand, one hundred fourteen".