203114024200 has 192 divisors, whose sum is σ = 506476512000. Its totient is φ = 75526007040.

The previous prime is 203114024159. The next prime is 203114024227. The reversal of 203114024200 is 2420411302.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72050391 + ... + 72053209.

It is an arithmetic number, because the mean of its divisors is an integer number (2637898500).

Almost surely, 2^203114024200 is an apocalyptic number.

203114024200 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 203114024200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253238256000).

203114024200 is an abundant number, since it is smaller than the sum of its proper divisors (303362487800).

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

203114024200 is a wasteful number, since it uses less digits than its factorization.

203114024200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3204 (or 3195 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 203114024200 its reverse (2420411302), we get a palindrome (205534435502).

The spelling of 203114024200 in words is "two hundred three billion, one hundred fourteen million, twenty-four thousand, two hundred".