311100420224 has 64 divisors (see below), whose sum is σ = 676480222080. Its totient is φ = 141332505600.

The previous prime is 311100420217. The next prime is 311100420259. The reversal of 311100420224 is 422024001113.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 311100420196 and 311100420205.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2575322 + ... + 2693414.

It is an arithmetic number, because the mean of its divisors is an integer number (10570003470).

Almost surely, 2^311100420224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311100420224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338240111040).

311100420224 is an abundant number, since it is smaller than the sum of its proper divisors (365379801856).

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

311100420224 is a wasteful number, since it uses less digits than its factorization.

311100420224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119989 (or 119977 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 311100420224 its reverse (422024001113), we get a palindrome (733124421337).

The spelling of 311100420224 in words is "three hundred eleven billion, one hundred million, four hundred twenty thousand, two hundred twenty-four".