1005302220002 has 64 divisors (see below), whose sum is σ = 1783490918400. Its totient is φ = 421431563520.

The previous prime is 1005302219993. The next prime is 1005302220011. The reversal of 1005302220002 is 2000222035001.

It is an interprime number because it is at equal distance from previous prime (1005302219993) and next prime (1005302220011).

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 303227 + ... + 1450017.

It is an arithmetic number, because the mean of its divisors is an integer number (27867045600).

Almost surely, 2^{1005302220002} is an apocalyptic number.

1005302220002 is a deficient number, since it is larger than the sum of its proper divisors (778188698398).

1005302220002 is a wasteful number, since it uses less digits than its factorization.

1005302220002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146911.

The product of its (nonzero) digits is 240, while the sum is 17.

Adding to 1005302220002 its reverse (2000222035001), we get a palindrome (3005524255003).

The spelling of 1005302220002 in words is "one trillion, five billion, three hundred two million, two hundred twenty thousand, two".