203324013144100 has 72 divisors (see below), whose sum is σ = 467223023390760. Its totient is φ = 76536302008320.

The previous prime is 203324013144089. The next prime is 203324013144101. The reversal of 203324013144100 is 1441310423302.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 992506092516 + 202331507051584 = 996246^2 + 14224328^2 .

It is not an unprimeable number, because it can be changed into a prime (203324013144101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6948666 + ... + 21329134.

It is an arithmetic number, because the mean of its divisors is an integer number (6489208658205).

Almost surely, 2^{203324013144100} is an apocalyptic number.

203324013144100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

203324013144100 is an abundant number, since it is smaller than the sum of its proper divisors (263899010246660).

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

203324013144100 is a wasteful number, since it uses less digits than its factorization.

203324013144100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14388817 (or 14388810 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 203324013144100 its reverse (1441310423302), we get a palindrome (204765323567402).

The spelling of 203324013144100 in words is "two hundred three trillion, three hundred twenty-four billion, thirteen million, one hundred forty-four thousand, one hundred".