10301800320 has 384 divisors, whose sum is σ = 42165527040. Its totient is φ = 2354448384.

The previous prime is 10301800277. The next prime is 10301800321. The reversal of 10301800320 is 2300810301.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×10301800320² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10301800293 and 10301800302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10301800321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1083909 + ... + 1093371.

It is an arithmetic number, because the mean of its divisors is an integer number (109806060).

Almost surely, 2^10301800320 is an apocalyptic number.

10301800320 is a gapful number since it is divisible by the number (10) 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 10301800320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21082763520).

10301800320 is an abundant number, since it is smaller than the sum of its proper divisors (31863726720).

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

10301800320 is an frugal number, since it uses more digits than its factorization.

10301800320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9504 (or 9480 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The spelling of 10301800320 in words is "ten billion, three hundred one million, eight hundred thousand, three hundred twenty".