20301434000 has 160 divisors (see below), whose sum is σ = 52568287200. Its totient is φ = 7555891200.

The previous prime is 20301433987. The next prime is 20301434011. The reversal of 20301434000 is 43410302.

It can be written as a sum of positive squares in 16 ways, for example, as 13121244304 + 7180189696 = 114548^2 + 84736^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 20301434000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3022646 + ... + 3029354.

It is an arithmetic number, because the mean of its divisors is an integer number (328551795).

Almost surely, 2^20301434000 is an apocalyptic number.

20301434000 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 20301434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26284143600).

20301434000 is an abundant number, since it is smaller than the sum of its proper divisors (32266853200).

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

20301434000 is a wasteful number, since it uses less digits than its factorization.

20301434000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6838 (or 6822 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 20301434000 its reverse (43410302), we get a palindrome (20344844302).

The spelling of 20301434000 in words is "twenty billion, three hundred one million, four hundred thirty-four thousand".