31024342100 has 144 divisors (see below), whose sum is σ = 74406956400. Its totient is φ = 11175198720.

The previous prime is 31024342073. The next prime is 31024342103. The reversal of 31024342100 is 124342013.

It can be written as a sum of positive squares in 24 ways, for example, as 28239458116 + 2784883984 = 168046^2 + 52772^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31024342103) 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 47 ways as a sum of consecutive naturals, for example, 5568116 + ... + 5573684.

It is an arithmetic number, because the mean of its divisors is an integer number (516714975).

Almost surely, 2^31024342100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31024342100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37203478200).

31024342100 is an abundant number, since it is smaller than the sum of its proper divisors (43382614300).

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

31024342100 is a wasteful number, since it uses less digits than its factorization.

31024342100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5742 (or 5735 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 31024342100 its reverse (124342013), we get a palindrome (31148684113).

The spelling of 31024342100 in words is "thirty-one billion, twenty-four million, three hundred forty-two thousand, one hundred".