241100001142 has 32 divisors (see below), whose sum is σ = 485572034304. Its totient is φ = 86709290400.

The previous prime is 241100001101. The next prime is 241100001167.

It is a happy number.

241100001142 is nontrivially palindromic in base 10.

241100001142 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 60212784 + ... + 60216787.

It is an arithmetic number, because the mean of its divisors is an integer number (15174126072).

Almost surely, 2^241100001142 is an apocalyptic number.

241100001142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

241100001142 is an abundant number, since it is smaller than the sum of its proper divisors (244472033162).

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

241100001142 is a wasteful number, since it uses less digits than its factorization.

241100001142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120429604.

The product of its (nonzero) digits is 64, while the sum is 16.

It can be divided in two parts, 24110000 and 1142, that added together give a palindrome (24111142).

The spelling of 241100001142 in words is "two hundred forty-one billion, one hundred million, one thousand, one hundred forty-two".