Search a number
-
+
330111220013131 = 2115413049948469
BaseRepresentation
bin100101100001111000000001…
…0000000010101100001001011
31121021211022202111201102002211
41023003300002000111201023
5321232020234310410011
63130031000110205551
7126350514524530324
oct11303600200254113
91537738674642084
10330111220013131
11962024227965a7
12310359237b38b7
131122747ba2180b
145b7367b02544b
152826e3c8c0b21
hex12c3c0201584b

330111220013131 has 16 divisors (see below), whose sum is σ = 332398140484000. Its totient is φ = 327831514617600.

The previous prime is 330111220013063. The next prime is 330111220013231. The reversal of 330111220013131 is 131310022111033.

It is a cyclic number.

It is not a de Polignac number, because 330111220013131 - 29 = 330111220012619 is a prime.

It is a super-2 number, since 2×3301112200131312 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (330111220013231) 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 15 ways as a sum of consecutive naturals, for example, 347572165 + ... + 348520633.

It is an arithmetic number, because the mean of its divisors is an integer number (20774883780250).

Almost surely, 2330111220013131 is an apocalyptic number.

330111220013131 is a deficient number, since it is larger than the sum of its proper divisors (2286920470869).

330111220013131 is a wasteful number, since it uses less digits than its factorization.

330111220013131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952270.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 330111220013131 its reverse (131310022111033), we get a palindrome (461421242124164).

The spelling of 330111220013131 in words is "three hundred thirty trillion, one hundred eleven billion, two hundred twenty million, thirteen thousand, one hundred thirty-one".

Divisors: 1 211 541 3049 114151 643339 948469 1649509 200126959 348046399 513121729 2891881981 108268684819 610187097991 1564508151721 330111220013131