3022132100 has 72 divisors (see below), whose sum is σ = 7132725768. Its totient is φ = 1104768000.

The previous prime is 3022132073. The next prime is 3022132121. The reversal of 3022132100 is 12312203.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 507510784 + 2514621316 = 22528^2 + 50146^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119792 + ... + 142808.

Almost surely, 2^3022132100 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 3022132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3566362884).

3022132100 is an abundant number, since it is smaller than the sum of its proper divisors (4110593668).

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

3022132100 is a wasteful number, since it uses less digits than its factorization.

3022132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23145 (or 23138 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 3022132100 is about 54973.9219994353. The cubic root of 3022132100 is about 1445.7875521570.

Adding to 3022132100 its reverse (12312203), we get a palindrome (3034444303).

The spelling of 3022132100 in words is "three billion, twenty-two million, one hundred thirty-two thousand, one hundred".