24130100103142 has 96 divisors (see below), whose sum is σ = 42423574132800. Its totient is φ = 10249929676800.

The previous prime is 24130100103119. The next prime is 24130100103157.

24130100103142 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2161996042 + ... + 2162007202.

It is an arithmetic number, because the mean of its divisors is an integer number (441912230550).

Almost surely, 2^{24130100103142} is an apocalyptic number.

24130100103142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

24130100103142 is a deficient number, since it is larger than the sum of its proper divisors (18293474029658).

24130100103142 is a wasteful number, since it uses less digits than its factorization.

24130100103142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14878 (or 14867 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

It can be divided in two parts, 24130100 and 103142, that added together give a palindrome (24233242).

The spelling of 24130100103142 in words is "twenty-four trillion, one hundred thirty billion, one hundred million, one hundred three thousand, one hundred forty-two".