1030110030144 has 336 divisors, whose sum is σ = 3354932380800. Its totient is φ = 299572826112.

The previous prime is 1030110030133. The next prime is 1030110030161. The reversal of 1030110030144 is 4410300110301.

1030110030144 is a `hidden beast` number, since 10 + 301 + 10 + 0 + 301 + 44 = 666.

It is a super-2 number, since 2×1030110030144² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62449162 + ... + 62465654.

It is an arithmetic number, because the mean of its divisors is an integer number (9984917800).

Almost surely, 2^{1030110030144} 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 1030110030144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1677466190400).

1030110030144 is an abundant number, since it is smaller than the sum of its proper divisors (2324822350656).

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

1030110030144 is a wasteful number, since it uses less digits than its factorization.

1030110030144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16982 (or 16969 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1030110030144 its reverse (4410300110301), we get a palindrome (5440410140445).

The spelling of 1030110030144 in words is "one trillion, thirty billion, one hundred ten million, thirty thousand, one hundred forty-four".