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21032320320 = 26325111634073
BaseRepresentation
bin10011100101100111…
…111011110101000000
32000021210000120111200
4103211213323311000
5321033233222240
613355003341200
71343125526064
oct234547736500
960253016450
1021032320320
118a13218610
1240ab821800
131ca251cc6b
141037447aa4
158316d3930
hex4e59fbd40

21032320320 has 336 divisors, whose sum is σ = 79422662592. Its totient is φ = 5066219520.

The previous prime is 21032320301. The next prime is 21032320327. The reversal of 21032320320 is 2302323012.

It is a happy number.

21032320320 is a `hidden beast` number, since 2 + 1 + 0 + 323 + 20 + 320 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 21032320293 and 21032320302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21032320327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5161804 + ... + 5165876.

It is an arithmetic number, because the mean of its divisors is an integer number (236376972).

Almost surely, 221032320320 is an apocalyptic number.

21032320320 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 21032320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39711331296).

21032320320 is an abundant number, since it is smaller than the sum of its proper divisors (58390342272).

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

21032320320 is a wasteful number, since it uses less digits than its factorization.

21032320320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4270 (or 4257 counting only the distinct ones).

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

Adding to 21032320320 its reverse (2302323012), we get a palindrome (23334643332).

The spelling of 21032320320 in words is "twenty-one billion, thirty-two million, three hundred twenty thousand, three hundred twenty".