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20032330230000 = 24325411193073469
BaseRepresentation
bin1001000111000001000111…
…11011010110100011110000
32121221001221112111100122200
410203200203323112203300
510111202203014330000
6110334420411103200
74135200550316124
oct443404373264360
977831845440580
1020032330230000
11642373319a390
1222b6496a41b00
13b2406b37684a
144d37d9d63584
1524b148353500
hex123823ed68f0

20032330230000 has 1200 divisors, whose sum is σ = 80732334883200. Its totient is φ = 4584418560000.

The previous prime is 20032330229993. The next prime is 20032330230001. The reversal of 20032330230000 is 3203323002.

20032330230000 is a `hidden beast` number, since 2 + 0 + 0 + 32 + 330 + 2 + 300 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20032330230001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5774668266 + ... + 5774671734.

It is an arithmetic number, because the mean of its divisors is an integer number (67276945736).

Almost surely, 220032330230000 is an apocalyptic number.

20032330230000 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 20032330230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40366167441600).

20032330230000 is an abundant number, since it is smaller than the sum of its proper divisors (60700004653200).

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

20032330230000 is a wasteful number, since it uses less digits than its factorization.

20032330230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3840 (or 3816 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

Adding to 20032330230000 its reverse (3203323002), we get a palindrome (20035533553002).

The spelling of 20032330230000 in words is "twenty trillion, thirty-two billion, three hundred thirty million, two hundred thirty thousand".