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306065340031 = 11233317434919
BaseRepresentation
bin1000111010000101110…
…10100111011001111111
31002021000012221020002111
410131002322213121333
520003310211340111
6352334322234451
731053404315413
oct4350272473177
91067005836074
10306065340031
1110888a9a6010
124b3987b5a27
1322b285c40c9
1410b568bcd43
157e64e01a21
hex4742ea767f

306065340031 has 32 divisors (see below), whose sum is σ = 350000455680. Its totient is φ = 264928725600.

The previous prime is 306065340023. The next prime is 306065340059. The reversal of 306065340031 is 130043560603.

It is not a de Polignac number, because 306065340031 - 23 = 306065340023 is a prime.

It is a super-2 number, since 2×3060653400312 (a number of 24 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 = 306065339975 and 306065340002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (306065340331) 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 31 ways as a sum of consecutive naturals, for example, 62218590 + ... + 62223508.

It is an arithmetic number, because the mean of its divisors is an integer number (10937514240).

Almost surely, 2306065340031 is an apocalyptic number.

306065340031 is a deficient number, since it is larger than the sum of its proper divisors (43935115649).

306065340031 is a wasteful number, since it uses less digits than its factorization.

306065340031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6027.

The product of its (nonzero) digits is 19440, while the sum is 31.

The spelling of 306065340031 in words is "three hundred six billion, sixty-five million, three hundred forty thousand, thirty-one".

Divisors: 1 11 23 253 331 743 3641 4919 7613 8173 17089 54109 83743 113137 187979 245933 1244507 1628189 2705263 3654817 5656459 17910079 37448347 40202987 62221049 84060791 411931817 924668701 1209744427 13307188697 27824121821 306065340031