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13031300331 = 34722982893
BaseRepresentation
bin11000010001011100…
…11101110011101011
31020122011200122110000
430020232131303223
5203142003102311
65553025554043
7640633140150
oct141056356353
936564618400
1013031300331
1155879138a5
1226381a5923
1312c8a107ca
148b8996227
15514086056
hex308b9dceb

13031300331 has 20 divisors (see below), whose sum is σ = 22247441392. Its totient is φ = 7446457008.

The previous prime is 13031300297. The next prime is 13031300369. The reversal of 13031300331 is 13300313031.

13031300331 is a `hidden beast` number, since 1 + 3 + 0 + 31 + 300 + 331 = 666.

It is not a de Polignac number, because 13031300331 - 26 = 13031300267 is a prime.

It is a super-2 number, since 2×130313003312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13031301331) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 11490880 + ... + 11492013.

Almost surely, 213031300331 is an apocalyptic number.

13031300331 is a deficient number, since it is larger than the sum of its proper divisors (9216141061).

13031300331 is an equidigital number, since it uses as much as digits as its factorization.

13031300331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22982912 (or 22982903 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

Adding to 13031300331 its reverse (13300313031), we get a palindrome (26331613362).

The spelling of 13031300331 in words is "thirteen billion, thirty-one million, three hundred thousand, three hundred thirty-one".

Divisors: 1 3 7 9 21 27 63 81 189 567 22982893 68948679 160880251 206846037 482640753 620538111 1447922259 1861614333 4343766777 13031300331