10311820 has 48 divisors (see below), whose sum is σ = 23405760. Its totient is φ = 3804416.

The previous prime is 10311811. The next prime is 10311841. The reversal of 10311820 is 2811301.

It is a junction number, because it is equal to n+sod(n) for n = 10311794 and 10311803.

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 15 ways as a sum of consecutive naturals, for example, 12954 + ... + 13726.

It is an arithmetic number, because the mean of its divisors is an integer number (487620).

Almost surely, 2^10311820 is an apocalyptic number.

10311820 is a gapful number since it is divisible by the number (10) 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 10311820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11702880).

10311820 is an abundant number, since it is smaller than the sum of its proper divisors (13093940).

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

10311820 is a wasteful number, since it uses less digits than its factorization.

10311820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 10311820 is about 3211.2022670645. The cubic root of 10311820 is about 217.6599079482.

The spelling of 10311820 in words is "ten million, three hundred eleven thousand, eight hundred twenty".