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330303030131131 = 37107683331336871
BaseRepresentation
bin100101100011010001010101…
…0110001110111100110111011
31121022111122212002021222120021
41023012202222301313212323
5321243141101203144011
63130255041154511311
7126400415000610331
oct11306425261674673
91538448762258507
10330303030131131
1196276801588182
1231066b34595537
131123c599376a65
145b7ca75531b51
15282be16d3d471
hex12c68aac779bb

330303030131131 has 32 divisors (see below), whose sum is σ = 343014637413888. Its totient is φ = 317801692961280.

The previous prime is 330303030131033. The next prime is 330303030131183. The reversal of 330303030131131 is 131131030303033.

It is a cyclic number.

It is not a de Polignac number, because 330303030131131 - 223 = 330303021742523 is a prime.

It is a super-2 number, since 2×3303030301311312 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 330303030131096 and 330303030131105.

It is not an unprimeable number, because it can be changed into a prime (330303030131531) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8958323626 + ... + 8958360496.

It is an arithmetic number, because the mean of its divisors is an integer number (10719207419184).

Almost surely, 2330303030131131 is an apocalyptic number.

330303030131131 is a deficient number, since it is larger than the sum of its proper divisors (12711607282757).

330303030131131 is a wasteful number, since it uses less digits than its factorization.

330303030131131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41011.

The product of its (nonzero) digits is 2187, while the sum is 25.

Adding to 330303030131131 its reverse (131131030303033), we get a palindrome (461434060434164).

The spelling of 330303030131131 in words is "three hundred thirty trillion, three hundred three billion, thirty million, one hundred thirty-one thousand, one hundred thirty-one".

Divisors: 1 37 107 683 3313 3959 25271 36871 73081 122581 354491 1364227 2262779 2703997 3945197 13116167 25182893 83722823 122153623 145972289 242117353 931767041 2694569551 4519684051 8958342061 13070437661 83430924509 99699073387 483606193457 3086944206833 8927108922463 330303030131131