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23320321002000 = 243253113759163331
BaseRepresentation
bin1010100110101101011110…
…11100110000101000010000
310001120101211021012200001200
411103112233130300220100
511024040004134031000
6121333112500231200
74624560202616211
oct523265734605020
9101511737180050
1023320321002000
117481102278640
12274777439b500
13100213498c479
145a89d105b408
152a6935cb1500
hex1535af730a10

23320321002000 has 1920 divisors, whose sum is σ = 93654288599040. Its totient is φ = 5357975040000.

The previous prime is 23320321001993. The next prime is 23320321002007. The reversal of 23320321002000 is 20012302332.

It is a happy number.

23320321002000 is a `hidden beast` number, since 2 + 3 + 320 + 321 + 0 + 0 + 20 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (23320321001993) and next prime (23320321002007).

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

It is not an unprimeable number, because it can be changed into a prime (23320321002007) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 70454141835 + ... + 70454142165.

It is an arithmetic number, because the mean of its divisors is an integer number (48778275312).

Almost surely, 223320321002000 is an apocalyptic number.

23320321002000 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 23320321002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46827144299520).

23320321002000 is an abundant number, since it is smaller than the sum of its proper divisors (70333967597040).

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

23320321002000 is a wasteful number, since it uses less digits than its factorization.

23320321002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 611 counting only the distinct ones).

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

Adding to 23320321002000 its reverse (20012302332), we get a palindrome (23340333304332).

The spelling of 23320321002000 in words is "twenty-three trillion, three hundred twenty billion, three hundred twenty-one million, two thousand".