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330020333331312 = 24313528878739313
BaseRepresentation
bin100101100001001101101100…
…0101111001010001101110000
31121021111122011110101121012010
41023002123120233022031300
5321224023120313100222
63125521125333202520
7126341116340504511
oct11302333057121560
91537448143347163
10330020333331312
119617792360a318
1231020199a90440
131121ba262b9b50
145b6d0d8476a08
1528248bd79880c
hex12c26d8bca370

330020333331312 has 40 divisors (see below), whose sum is σ = 918133491449104. Its totient is φ = 101544717947904.

The previous prime is 330020333331277. The next prime is 330020333331313. The reversal of 330020333331312 is 213133333020033.

It is a happy number.

It is a super-2 number, since 2×3300203333313122 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 330020333331312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330020333331313) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 264439369033 + ... + 264439370280.

Almost surely, 2330020333331312 is an apocalyptic number.

It is an amenable number.

330020333331312 is an abundant number, since it is smaller than the sum of its proper divisors (588113158117792).

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

330020333331312 is a wasteful number, since it uses less digits than its factorization.

330020333331312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528878739337 (or 528878739331 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 30.

Adding to 330020333331312 its reverse (213133333020033), we get a palindrome (543153666351345).

The spelling of 330020333331312 in words is "three hundred thirty trillion, twenty billion, three hundred thirty-three million, three hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 528878739313 1057757478626 1586636217939 2115514957252 3173272435878 4231029914504 6346544871756 6875423611069 8462059829008 12693089743512 13750847222138 20626270833207 25386179487024 27501694444276 41252541666414 55003388888552 82505083332828 110006777777104 165010166665656 330020333331312