1300203400 has 96 divisors (see below), whose sum is σ = 3140814600. Its totient is φ = 499968000.

The previous prime is 1300203391. The next prime is 1300203431. The reversal of 1300203400 is 43020031.

It can be written as a sum of positive squares in 12 ways, for example, as 268894404 + 1031308996 = 16398^2 + 32114^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2163100 + ... + 2163700.

Almost surely, 2^1300203400 is an apocalyptic number.

1300203400 is a gapful number since it is divisible by the number (10) 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 1300203400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1570407300).

1300203400 is an abundant number, since it is smaller than the sum of its proper divisors (1840611200).

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

1300203400 is a wasteful number, since it uses less digits than its factorization.

1300203400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 1300203400 is about 36058.3332948155. Note that the first 3 decimals coincide. The cubic root of 1300203400 is about 1091.4498004293.

Adding to 1300203400 its reverse (43020031), we get a palindrome (1343223431).

The spelling of 1300203400 in words is "one billion, three hundred million, two hundred three thousand, four hundred".