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320332130023104 = 263223199211575857
BaseRepresentation
bin100100011010101110010001…
…0110100011111011011000000
31120000012110012220122102000200
41020311130202310133123000
5313441310200241214404
63053142314325245200
7124321142542233153
oct11065344264373300
91500173186572020
10320332130023104
11930821033a1761
122bb1661a263800
1310998261c7ca34
14591622d0a3c9a
1527078919c5839
hex1235722d1f6c0

320332130023104 has 336 divisors, whose sum is σ = 967474609420800. Its totient is φ = 101139846635520.

The previous prime is 320332130023057. The next prime is 320332130023253. The reversal of 320332130023104 is 401320031233023.

320332130023104 is a `hidden beast` number, since 3 + 2 + 0 + 3 + 321 + 300 + 2 + 31 + 0 + 4 = 666.

It is a super-2 number, since 2×3203321300231042 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 555982344 + ... + 556558200.

Almost surely, 2320332130023104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320332130023104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483737304710400).

320332130023104 is an abundant number, since it is smaller than the sum of its proper divisors (647142479397696).

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

320332130023104 is a wasteful number, since it uses less digits than its factorization.

320332130023104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576308 (or 576295 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 320332130023104 its reverse (401320031233023), we get a palindrome (721652161256127).

The spelling of 320332130023104 in words is "three hundred twenty trillion, three hundred thirty-two billion, one hundred thirty million, twenty-three thousand, one hundred four".