31000224000 has 144 divisors (see below), whose sum is σ = 102967562880. Its totient is φ = 8266700800.

The previous prime is 31000223993. The next prime is 31000224007. The reversal of 31000224000 is 42200013.

It is an interprime number because it is at equal distance from previous prime (31000223993) and next prime (31000224007).

It is a super-2 number, since 2×31000224000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (31000224007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65460 + ... + 257459.

It is an arithmetic number, because the mean of its divisors is an integer number (715052520).

Almost surely, 2^31000224000 is an apocalyptic number.

31000224000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31000224000 is an abundant number, since it is smaller than the sum of its proper divisors (71967338880).

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

31000224000 is an equidigital number, since it uses as much as digits as its factorization.

31000224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322953 (or 322929 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 31000224000 its reverse (42200013), we get a palindrome (31042424013).

The spelling of 31000224000 in words is "thirty-one billion, two hundred twenty-four thousand".