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20321200320000 = 29354107197831
BaseRepresentation
bin1001001111011011001011…
…11011010010111000000000
32122221200120101112101010220
410213231211323102320000
510130420304240220000
6111115232555423040
74165105200501336
oct447554573227000
978850511471126
1020321200320000
116525199898558
122342474a54a80
13b45386394298
145037a0c59b56
152539038611a0
hex127b65ed2e00

20321200320000 has 400 divisors, whose sum is σ = 68282113629312. Its totient is φ = 5368314880000.

The previous prime is 20321200319999. The next prime is 20321200320007. The reversal of 20321200320000 is 2300212302.

It is a tau number, because it is divible by the number of its divisors (400).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20321200320007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 102621085 + ... + 102818915.

Almost surely, 220321200320000 is an apocalyptic number.

20321200320000 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 20321200320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34141056814656).

20321200320000 is an abundant number, since it is smaller than the sum of its proper divisors (47960913309312).

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

20321200320000 is an equidigital number, since it uses as much as digits as its factorization.

20321200320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197979 (or 197948 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 20321200320000 its reverse (2300212302), we get a palindrome (20323500532302).

The spelling of 20321200320000 in words is "twenty trillion, three hundred twenty-one billion, two hundred million, three hundred twenty thousand".