241400100 has 144 divisors (see below), whose sum is σ = 730953216. Its totient is φ = 61440000.

The previous prime is 241400077. The next prime is 241400113. The reversal of 241400100 is 1004142.

241400100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 939172 + ... + 939428.

It is an arithmetic number, because the mean of its divisors is an integer number (5076064).

Almost surely, 2^241400100 is an apocalyptic number.

241400100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241400100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365476608).

241400100 is an abundant number, since it is smaller than the sum of its proper divisors (489553116).

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

241400100 is a wasteful number, since it uses less digits than its factorization.

241400100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 241400100 is about 15537.0557056348. The cubic root of 241400100 is about 622.6526133456.

Adding to 241400100 its reverse (1004142), we get a palindrome (242404242).

The spelling of 241400100 in words is "two hundred forty-one million, four hundred thousand, one hundred".