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21323002320000 = 2732541937103409
BaseRepresentation
bin1001101100100101001011…
…11110101001010010000000
32210111110101200201212220200
410312102211332221102000
510243324002043220000
6113203352501205200
74330351606134603
oct466224576512200
983443350655820
1021323002320000
116881041a13747
12248465a400800
13bb899aaa02c4
1453a07873a33a
1526e9d83c8500
hex1364a5fa9480

21323002320000 has 1920 divisors, whose sum is σ = 83900655696000. Its totient is φ = 5177696256000.

The previous prime is 21323002319911. The next prime is 21323002320017. The reversal of 21323002320000 is 2320032312.

It is a happy number.

21323002320000 is a `hidden beast` number, since 2 + 132 + 300 + 232 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 52134479796 + ... + 52134480204.

It is an arithmetic number, because the mean of its divisors is an integer number (43698258175).

Almost surely, 221323002320000 is an apocalyptic number.

21323002320000 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 21323002320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41950327848000).

21323002320000 is an abundant number, since it is smaller than the sum of its proper divisors (62577653376000).

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

21323002320000 is a wasteful number, since it uses less digits than its factorization.

21323002320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 21323002320000 its reverse (2320032312), we get a palindrome (21325322352312).

The spelling of 21323002320000 in words is "twenty-one trillion, three hundred twenty-three billion, two million, three hundred twenty thousand".