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330135012 = 22329170417
BaseRepresentation
bin10011101011010…
…111010111100100
3212000012121002200
4103223113113210
51134003310022
652431534500
711116046514
oct2353272744
9760177080
10330135012
1115a397359
129268a430
135351c37c
1431bb9844
151deb2bac
hex13ad75e4

330135012 has 18 divisors (see below), whose sum is σ = 834508038. Its totient is φ = 110044992.

The previous prime is 330135011. The next prime is 330135017. The reversal of 330135012 is 210531033.

330135012 is a `hidden beast` number, since 3 + 301 + 350 + 12 = 666.

It can be written as a sum of positive squares in only one way, i.e., 315204516 + 14930496 = 17754^2 + 3864^2 .

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

It is a super-2 number, since 2×3301350122 = 217978252296480288, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (330135011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4585173 + ... + 4585244.

Almost surely, 2330135012 is an apocalyptic number.

It is an amenable number.

330135012 is an abundant number, since it is smaller than the sum of its proper divisors (504373026).

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

330135012 is a wasteful number, since it uses less digits than its factorization.

330135012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9170427 (or 9170422 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 330135012 is about 18169.6178275714. The cubic root of 330135012 is about 691.1365515721.

Adding to 330135012 its reverse (210531033), we get a palindrome (540666045).

It can be divided in two parts, 33013 and 5012, that added together give a square (38025 = 1952).

The spelling of 330135012 in words is "three hundred thirty million, one hundred thirty-five thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 9170417 18340834 27511251 36681668 55022502 82533753 110045004 165067506 330135012