82301122110328 has 32 divisors (see below), whose sum is σ = 168344383547520. Its totient is φ = 37409338908000.

The previous prime is 82301122110307. The next prime is 82301122110329.

82301122110328 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 82301122110293 and 82301122110302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82301122110329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9646333 + ... + 16051603.

It is an arithmetic number, because the mean of its divisors is an integer number (5260761985860).

Almost surely, 2^{82301122110328} is an apocalyptic number.

82301122110328 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

82301122110328 is an abundant number, since it is smaller than the sum of its proper divisors (86043261437192).

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

82301122110328 is a wasteful number, since it uses less digits than its factorization.

82301122110328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6551299 (or 6551295 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The spelling of 82301122110328 in words is "eighty-two trillion, three hundred one billion, one hundred twenty-two million, one hundred ten thousand, three hundred twenty-eight".