203002142200 has 384 divisors, whose sum is σ = 578302986240. Its totient is φ = 65260800000.

The previous prime is 203002142197. The next prime is 203002142207. The reversal of 203002142200 is 2241200302.

203002142200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203002142207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 89545467 + ... + 89547733.

It is an arithmetic number, because the mean of its divisors is an integer number (1505997360).

Almost surely, 2^203002142200 is an apocalyptic number.

203002142200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203002142200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289151493120).

203002142200 is an abundant number, since it is smaller than the sum of its proper divisors (375300844040).

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

203002142200 is a wasteful number, since it uses less digits than its factorization.

203002142200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2439 (or 2430 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 203002142200 its reverse (2241200302), we get a palindrome (205243342502).

The spelling of 203002142200 in words is "two hundred three billion, two million, one hundred forty-two thousand, two hundred".