220314304100 has 144 divisors (see below), whose sum is σ = 528615499776. Its totient is φ = 79035264000.

The previous prime is 220314303991. The next prime is 220314304121. The reversal of 220314304100 is 1403413022.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 25281344 + ... + 25290056.

Almost surely, 2^220314304100 is an apocalyptic number.

220314304100 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 220314304100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264307749888).

220314304100 is an abundant number, since it is smaller than the sum of its proper divisors (308301195676).

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

220314304100 is a wasteful number, since it uses less digits than its factorization.

220314304100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9046 (or 9039 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 220314304100 its reverse (1403413022), we get a palindrome (221717717122).

The spelling of 220314304100 in words is "two hundred twenty billion, three hundred fourteen million, three hundred four thousand, one hundred".