31282000020 has 144 divisors (see below), whose sum is σ = 97947158400. Its totient is φ = 8075282688.

The previous prime is 31282000019. The next prime is 31282000027. The reversal of 31282000020 is 2000028213.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 31281999957 and 31282000002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31282000027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1313539 + ... + 1337141.

It is an arithmetic number, because the mean of its divisors is an integer number (680188600).

Almost surely, 2^31282000020 is an apocalyptic number.

31282000020 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 31282000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48973579200).

31282000020 is an abundant number, since it is smaller than the sum of its proper divisors (66665158380).

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

31282000020 is a wasteful number, since it uses less digits than its factorization.

31282000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23854 (or 23849 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 31282000020 its reverse (2000028213), we get a palindrome (33282028233).

The spelling of 31282000020 in words is "thirty-one billion, two hundred eighty-two million, twenty", and thus it is an aban number.