311002020 has 216 divisors, whose sum is σ = 1128234744. Its totient is φ = 69092352.

The previous prime is 311002019. The next prime is 311002033. The reversal of 311002020 is 20200113.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 73410624 + 237591396 = 8568^2 + 15414^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 311001993 and 311002011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 325864 + ... + 326816.

It is an arithmetic number, because the mean of its divisors is an integer number (5223309).

Almost surely, 2^311002020 is an apocalyptic number.

311002020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564117372).

311002020 is an abundant number, since it is smaller than the sum of its proper divisors (817232724).

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

311002020 is a wasteful number, since it uses less digits than its factorization.

311002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 311002020 is about 17635.2493603011. The cubic root of 311002020 is about 677.5183620882.

Adding to 311002020 its reverse (20200113), we get a palindrome (331202133).

The spelling of 311002020 in words is "three hundred eleven million, two thousand, twenty".