83117712038100 has 144 divisors (see below), whose sum is σ = 246000948056640. Its totient is φ = 21659880320000.

The previous prime is 83117712038093. The next prime is 83117712038111. The reversal of 83117712038100 is 183021771138.

It is a super-2 number, since 2×83117712038100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6422505 + ... + 14404304.

It is an arithmetic number, because the mean of its divisors is an integer number (1708339917060).

Almost surely, 2^{83117712038100} is an apocalyptic number.

It is an amenable number.

83117712038100 is an abundant number, since it is smaller than the sum of its proper divisors (162883236018540).

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

83117712038100 is a wasteful number, since it uses less digits than its factorization.

83117712038100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20827130 (or 20827123 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 42.

It can be divided in two parts, 83117 and 712038100, that added together give a palindrome (712121217).

The spelling of 83117712038100 in words is "eighty-three trillion, one hundred seventeen billion, seven hundred twelve million, thirty-eight thousand, one hundred".