30144211244103 has 16 divisors (see below), whose sum is σ = 43853629769856. Its totient is φ = 18266092134240.

The previous prime is 30144211244099. The next prime is 30144211244123.

It is a happy number.

30144211244103 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 30144211244103 - 2² = 30144211244099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30144211244123) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 77974300 + ... + 78359937.

It is an arithmetic number, because the mean of its divisors is an integer number (2740851860616).

Almost surely, 2^{30144211244103} is an apocalyptic number.

30144211244103 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

30144211244103 is a deficient number, since it is larger than the sum of its proper divisors (13709418525753).

30144211244103 is a wasteful number, since it uses less digits than its factorization.

30144211244103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156340094.

The product of its (nonzero) digits is 9216, while the sum is 30.

It can be divided in two parts, 3014421 and 1244103, that added together give a palindrome (4258524).

The spelling of 30144211244103 in words is "thirty trillion, one hundred forty-four billion, two hundred eleven million, two hundred forty-four thousand, one hundred three".