4133204100 has 81 divisors (see below), whose sum is σ = 12961346853. Its totient is φ = 1101673440.

The previous prime is 4133204093. The next prime is 4133204129. The reversal of 4133204100 is 14023314.

The square root of 4133204100 is 64290.

It is a perfect power (a square), and thus also a powerful number.

4133204100 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1487953476 + 2645250624 = 38574^2 + 51432^2 .

It is a super-2 number, since 2×4133204100² = 34166752264513620000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1927629 + ... + 1929771.

Almost surely, 2^4133204100 is an apocalyptic number.

4133204100 is the 64290-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4133204100

4133204100 is an abundant number, since it is smaller than the sum of its proper divisors (8828142753).

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

4133204100 is a wasteful number, since it uses less digits than its factorization.

4133204100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4306 (or 2153 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The cubic root of 4133204100 is about 1604.8296904914.

Adding to 4133204100 its reverse (14023314), we get a palindrome (4147227414).

The spelling of 4133204100 in words is "four billion, one hundred thirty-three million, two hundred four thousand, one hundred".