31100414022 has 128 divisors (see below), whose sum is σ = 74617528320. Its totient is φ = 9573759360.

The previous prime is 31100414017. The next prime is 31100414029. The reversal of 31100414022 is 22041400113.

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 = 31100413986 and 31100414004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31100414029) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 25141188 + ... + 25142424.

It is an arithmetic number, because the mean of its divisors is an integer number (582949440).

Almost surely, 2^31100414022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31100414022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37308764160).

31100414022 is an abundant number, since it is smaller than the sum of its proper divisors (43517114298).

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

31100414022 is a wasteful number, since it uses less digits than its factorization.

31100414022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1955 (or 1949 counting only the distinct ones).

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

Adding to 31100414022 its reverse (22041400113), we get a palindrome (53141814135).

The spelling of 31100414022 in words is "thirty-one billion, one hundred million, four hundred fourteen thousand, twenty-two".