202434143120200 has 144 divisors (see below), whose sum is σ = 487625314987980. Its totient is φ = 78153128632320.

The previous prime is 202434143120197. The next prime is 202434143120213. The reversal of 202434143120200 is 2021341434202.

202434143120200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 18 ways, for example, as 82993156763364 + 119440986356836 = 9110058^2 + 10928906^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 466874704 + ... + 467308096.

Almost surely, 2^{202434143120200} is an apocalyptic number.

202434143120200 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 202434143120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243812657493990).

202434143120200 is an abundant number, since it is smaller than the sum of its proper divisors (285191171867780).

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

202434143120200 is a wasteful number, since it uses less digits than its factorization.

202434143120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436244 (or 436206 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 202434143120200 its reverse (2021341434202), we get a palindrome (204455484554402).

The spelling of 202434143120200 in words is "two hundred two trillion, four hundred thirty-four billion, one hundred forty-three million, one hundred twenty thousand, two hundred".