1300224100 has 72 divisors (see below), whose sum is σ = 3231195968. Its totient is φ = 444873600.

The previous prime is 1300224059. The next prime is 1300224127. The reversal of 1300224100 is 14220031.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 398074 + ... + 401326.

Almost surely, 2^1300224100 is an apocalyptic number.

1300224100 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 1300224100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1615597984).

1300224100 is an abundant number, since it is smaller than the sum of its proper divisors (1930971868).

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

1300224100 is a wasteful number, since it uses less digits than its factorization.

1300224100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3845 (or 3838 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 1300224100 is about 36058.6203285705. The cubic root of 1300224100 is about 1091.4555925720.

Adding to 1300224100 its reverse (14220031), we get a palindrome (1314444131).

The spelling of 1300224100 in words is "one billion, three hundred million, two hundred twenty-four thousand, one hundred".