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20301231120000 = 27354312127103
BaseRepresentation
bin1001001110110101111111…
…01010110101111010000000
32122212210000200221220112220
410213122333222311322000
510130103410131320000
6111102131250251040
74163500301214345
oct447327752657200
978783020856486
1020301231120000
116517781795a86
12233a621286a80
13b435231b17cc
14502828ab07cc
1525313567b1a0
hex1276bfab5e80

20301231120000 has 320 divisors, whose sum is σ = 67408939234560. Its totient is φ = 5411727360000.

The previous prime is 20301231119989. The next prime is 20301231120043. The reversal of 20301231120000 is 2113210302.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 749026449 + ... + 749053551.

It is an arithmetic number, because the mean of its divisors is an integer number (210652935108).

Almost surely, 220301231120000 is an apocalyptic number.

20301231120000 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 20301231120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33704469617280).

20301231120000 is an abundant number, since it is smaller than the sum of its proper divisors (47107708114560).

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

20301231120000 is an equidigital number, since it uses as much as digits as its factorization.

20301231120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30261 (or 30234 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 20301231120000 its reverse (2113210302), we get a palindrome (20303344330302).

The spelling of 20301231120000 in words is "twenty trillion, three hundred one billion, two hundred thirty-one million, one hundred twenty thousand".