221020304142 has 64 divisors (see below), whose sum is σ = 500618568960. Its totient is φ = 64437676800.

The previous prime is 221020304129. The next prime is 221020304159. The reversal of 221020304142 is 241403020122.

221020304142 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 337642 + ... + 745682.

It is an arithmetic number, because the mean of its divisors is an integer number (7822165140).

Almost surely, 2^221020304142 is an apocalyptic number.

221020304142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 221020304142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250309284480).

221020304142 is an abundant number, since it is smaller than the sum of its proper divisors (279598264818).

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

221020304142 is a wasteful number, since it uses less digits than its factorization.

221020304142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408369.

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 221020304142 its reverse (241403020122), we get a palindrome (462423324264).

The spelling of 221020304142 in words is "two hundred twenty-one billion, twenty million, three hundred four thousand, one hundred forty-two".