31011242244420 has 192 divisors, whose sum is σ = 93472698816000. Its totient is φ = 7654429286400.

The previous prime is 31011242244377. The next prime is 31011242244443. The reversal of 31011242244420 is 2444224211013.

It is a super-2 number, since 2×31011242244420² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14339841 + ... + 16360119.

It is an arithmetic number, because the mean of its divisors is an integer number (486836973000).

Almost surely, 2^{31011242244420} is an apocalyptic number.

31011242244420 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 31011242244420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46736349408000).

31011242244420 is an abundant number, since it is smaller than the sum of its proper divisors (62461456571580).

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

31011242244420 is a wasteful number, since it uses less digits than its factorization.

31011242244420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2020558 (or 2020556 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 31011242244420 its reverse (2444224211013), we get a palindrome (33455466455433).

The spelling of 31011242244420 in words is "thirty-one trillion, eleven billion, two hundred forty-two million, two hundred forty-four thousand, four hundred twenty".