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330200320000 = 21154614229
BaseRepresentation
bin1001100111000010111…
…10010000100000000000
31011120022020011020111111
410303201132100200000
520402222240220000
6411405242453104
732566446260455
oct4634136204000
91146266136444
10330200320000
11118045521751
1253bb3504194
13251a3860845
1411da601382c
1588c8ba6cba
hex4ce1790800

330200320000 has 240 divisors, whose sum is σ = 838758620700. Its totient is φ = 129884160000.

The previous prime is 330200319997. The next prime is 330200320039. The reversal of 330200320000 is 23002033.

It can be written as a sum of positive squares in 10 ways, for example, as 16277677056 + 313922642944 = 127584^2 + 560288^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 78077886 + ... + 78082114.

Almost surely, 2330200320000 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 330200320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419379310350).

330200320000 is an abundant number, since it is smaller than the sum of its proper divisors (508558300700).

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

330200320000 is an frugal number, since it uses more digits than its factorization.

330200320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4332 (or 4297 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 13.

Adding to 330200320000 its reverse (23002033), we get a palindrome (330223322033).

The spelling of 330200320000 in words is "three hundred thirty billion, two hundred million, three hundred twenty thousand".