10144114003 has 16 divisors (see below), whose sum is σ = 10817614080. Its totient is φ = 9484811424.

The previous prime is 10144113977. The next prime is 10144114007. The reversal of 10144114003 is 30041144101.

10144114003 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10144114003 - 2⁵ = 10144113971 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10144114007) 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 15 ways as a sum of consecutive naturals, for example, 1910250 + ... + 1915552.

It is an arithmetic number, because the mean of its divisors is an integer number (676100880).

Almost surely, 2^10144114003 is an apocalyptic number.

10144114003 is a deficient number, since it is larger than the sum of its proper divisors (673500077).

10144114003 is a wasteful number, since it uses less digits than its factorization.

10144114003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6618.

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 10144114003 its reverse (30041144101), we get a palindrome (40185258104).

The spelling of 10144114003 in words is "ten billion, one hundred forty-four million, one hundred fourteen thousand, three".