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330231324132 = 22329173092337
BaseRepresentation
bin1001100111000110101…
…00100001110111100100
31011120101101111102011200
410303203110201313210
520402303204333012
6411412311202500
732600303640513
oct4634324416744
91146341442150
10330231324132
11118060a785a6
1254001976430
13251aa0c7898
1411daa1a467a
1588cb77d3dc
hex4ce3521de4

330231324132 has 18 divisors (see below), whose sum is σ = 834751402758. Its totient is φ = 110077108032.

The previous prime is 330231324109. The next prime is 330231324173. The reversal of 330231324132 is 231423132033.

330231324132 is a `hidden beast` number, since 3 + 302 + 3 + 1 + 324 + 1 + 32 = 666.

It can be written as a sum of positive squares in only one way, i.e., 269230227876 + 61001096256 = 518874^2 + 246984^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a junction number, because it is equal to n+sod(n) for n = 330231324096 and 330231324105.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 4586546133 + ... + 4586546204.

It is an arithmetic number, because the mean of its divisors is an integer number (46375077931).

Almost surely, 2330231324132 is an apocalyptic number.

It is an amenable number.

330231324132 is an abundant number, since it is smaller than the sum of its proper divisors (504520078626).

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

330231324132 is a wasteful number, since it uses less digits than its factorization.

330231324132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9173092347 (or 9173092342 counting only the distinct ones).

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

Adding to 330231324132 its reverse (231423132033), we get a palindrome (561654456165).

The spelling of 330231324132 in words is "three hundred thirty billion, two hundred thirty-one million, three hundred twenty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 9173092337 18346184674 27519277011 36692369348 55038554022 82557831033 110077108044 165115662066 330231324132