33102242320 has 160 divisors (see below), whose sum is σ = 92736921600. Its totient is φ = 10734571008.

The previous prime is 33102242309. The next prime is 33102242353. The reversal of 33102242320 is 2324220133.

It is a super-2 number, since 2×33102242320² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33102242291 and 33102242300.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 7647997 + ... + 7652323.

It is an arithmetic number, because the mean of its divisors is an integer number (579605760).

Almost surely, 2^33102242320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33102242320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46368460800).

33102242320 is an abundant number, since it is smaller than the sum of its proper divisors (59634679280).

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

33102242320 is a wasteful number, since it uses less digits than its factorization.

33102242320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5085 (or 5079 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 33102242320 its reverse (2324220133), we get a palindrome (35426462453).

The spelling of 33102242320 in words is "thirty-three billion, one hundred two million, two hundred forty-two thousand, three hundred twenty".