31312430820 has 252 divisors, whose sum is σ = 108372589500. Its totient is φ = 7590464640.

The previous prime is 31312430819. The next prime is 31312430957. The reversal of 31312430820 is 2803421313.

31312430820 is a `hidden beast` number, since 313 + 1 + 24 + 308 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5780865024 + 25531565796 = 76032^2 + 159786^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1755306 + ... + 1773054.

Almost surely, 2^31312430820 is an apocalyptic number.

31312430820 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 31312430820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54186294750).

31312430820 is an abundant number, since it is smaller than the sum of its proper divisors (77060158680).

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

31312430820 is a wasteful number, since it uses less digits than its factorization.

31312430820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17798 (or 17770 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 31312430820 in words is "thirty-one billion, three hundred twelve million, four hundred thirty thousand, eight hundred twenty".