201303844160 has 112 divisors (see below), whose sum is σ = 485975875392. Its totient is φ = 79412736000.

The previous prime is 201303844151. The next prime is 201303844171. The reversal of 201303844160 is 61448303102.

201303844160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×201303844160² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15956255 + ... + 15968865.

It is an arithmetic number, because the mean of its divisors is an integer number (4339070316).

Almost surely, 2^201303844160 is an apocalyptic number.

201303844160 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 201303844160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242987937696).

201303844160 is an abundant number, since it is smaller than the sum of its proper divisors (284672031232).

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

201303844160 is a wasteful number, since it uses less digits than its factorization.

201303844160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13312 (or 13302 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The spelling of 201303844160 in words is "two hundred one billion, three hundred three million, eight hundred forty-four thousand, one hundred sixty".