224123201313100 has 144 divisors (see below), whose sum is σ = 516445979716800. Its totient is φ = 84131712901120.

The previous prime is 224123201313079. The next prime is 224123201313107. The reversal of 224123201313100 is 1313102321422.

It is a super-2 number, since 2×224123201313100² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (224123201313107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9135568434 + ... + 9135592966.

It is an arithmetic number, because the mean of its divisors is an integer number (3586430414700).

Almost surely, 2^{224123201313100} is an apocalyptic number.

224123201313100 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 224123201313100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258222989858400).

224123201313100 is an abundant number, since it is smaller than the sum of its proper divisors (292322778403700).

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

224123201313100 is a wasteful number, since it uses less digits than its factorization.

224123201313100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39892 (or 39885 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 224123201313100 its reverse (1313102321422), we get a palindrome (225436303634522).

The spelling of 224123201313100 in words is "two hundred twenty-four trillion, one hundred twenty-three billion, two hundred one million, three hundred thirteen thousand, one hundred".