31243003242000 has 320 divisors, whose sum is σ = 110312108644608. Its totient is φ = 7544586240000.

The previous prime is 31243003241953. The next prime is 31243003242007. The reversal of 31243003242000 is 24230034213.

It is a super-2 number, since 2×31243003242000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (31243003242007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16041030 + ... + 17882970.

Almost surely, 2^{31243003242000} is an apocalyptic number.

31243003242000 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 31243003242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55156054322304).

31243003242000 is an abundant number, since it is smaller than the sum of its proper divisors (79069105402608).

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

31243003242000 is a wasteful number, since it uses less digits than its factorization.

31243003242000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1842235 (or 1842219 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 31243003242000 its reverse (24230034213), we get a palindrome (31267233276213).

The spelling of 31243003242000 in words is "thirty-one trillion, two hundred forty-three billion, three million, two hundred forty-two thousand".