221431434314130 has 48 divisors (see below), whose sum is σ = 575725990184280. Its totient is φ = 59047945461504.

The previous prime is 221431434314107. The next prime is 221431434314171. The reversal of 221431434314130 is 31413434134122.

221431434314130 is a `hidden beast` number, since 2 + 2 + 1 + 43 + 143 + 431 + 41 + 3 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 221368958811729 + 62475502401 = 14878473^2 + 249951^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3215406 + ... + 21288534.

Almost surely, 2^{221431434314130} is an apocalyptic number.

221431434314130 is an abundant number, since it is smaller than the sum of its proper divisors (354294555870150).

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

221431434314130 is a wasteful number, since it uses less digits than its factorization.

221431434314130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18209275 (or 18209272 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 221431434314130 its reverse (31413434134122), we get a palindrome (252844868448252).

The spelling of 221431434314130 in words is "two hundred twenty-one trillion, four hundred thirty-one billion, four hundred thirty-four million, three hundred fourteen thousand, one hundred thirty".