20103143345280 has 576 divisors, whose sum is σ = 76325515489080. Its totient is φ = 5045476884480.

The previous prime is 20103143345269. The next prime is 20103143345291. The reversal of 20103143345280 is 8254334130102.

20103143345280 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 31 + 4 + 3 + 345 + 280 = 666.

It is an interprime number because it is at equal distance from previous prime (20103143345269) and next prime (20103143345291).

It can be written as a sum of positive squares in 4 ways, for example, as 14621813527104 + 5481329818176 = 3823848^2 + 2341224^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 71242870 + ... + 71524490.

Almost surely, 2^{20103143345280} is an apocalyptic number.

20103143345280 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 20103143345280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38162757744540).

20103143345280 is an abundant number, since it is smaller than the sum of its proper divisors (56222372143800).

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

20103143345280 is an frugal number, since it uses more digits than its factorization.

20103143345280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281681 (or 281648 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 20103143345280 its reverse (8254334130102), we get a palindrome (28357477475382).

The spelling of 20103143345280 in words is "twenty trillion, one hundred three billion, one hundred forty-three million, three hundred forty-five thousand, two hundred eighty".