241103342434100 has 144 divisors (see below), whose sum is σ = 527126096114352. Its totient is φ = 95719564247040.

The previous prime is 241103342434091. The next prime is 241103342434169. The reversal of 241103342434100 is 1434243301142.

It can be written as a sum of positive squares in 24 ways, for example, as 228088405939216 + 13014936494884 = 15102596^2 + 3607622^2 .

It is a super-3 number, since 3×241103342434100³ (a number of 44 digits) contains 333 as substring.

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, 22623935972 + ... + 22623946628.

It is an arithmetic number, because the mean of its divisors is an integer number (3660597889683).

Almost surely, 2^{241103342434100} is an apocalyptic number.

241103342434100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241103342434100 is an abundant number, since it is smaller than the sum of its proper divisors (286022753680252).

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

241103342434100 is a wasteful number, since it uses less digits than its factorization.

241103342434100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14022 (or 14015 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 241103342434100 its reverse (1434243301142), we get a palindrome (242537585735242).

The spelling of 241103342434100 in words is "two hundred forty-one trillion, one hundred three billion, three hundred forty-two million, four hundred thirty-four thousand, one hundred".