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13034324331 = 33729852097
BaseRepresentation
bin11000010001110100…
…00000000101101011
31020122101101021121000
430020322000011223
5203143241334311
65553214450043
7641000633400
oct141072000553
936571337530
1013034324331
115589599876
122639203923
1312c952c062
148b91422a7
15514482056
hex308e8016b

13034324331 has 24 divisors (see below), whose sum is σ = 22462783440. Its totient is φ = 7448184576.

The previous prime is 13034324321. The next prime is 13034324377. The reversal of 13034324331 is 13342343031.

13034324331 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 4 + 324 + 331 = 666.

It is not a de Polignac number, because 13034324331 - 25 = 13034324299 is a prime.

It is a super-2 number, since 2×130343243312 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13034324295 and 13034324304.

It is not an unprimeable number, because it can be changed into a prime (13034324321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4924726 + ... + 4927371.

It is an arithmetic number, because the mean of its divisors is an integer number (935949310).

Almost surely, 213034324331 is an apocalyptic number.

13034324331 is a deficient number, since it is larger than the sum of its proper divisors (9428459109).

13034324331 is an equidigital number, since it uses as much as digits as its factorization.

13034324331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9852120 (or 9852107 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 13034324331 its reverse (13342343031), we get a palindrome (26376667362).

The spelling of 13034324331 in words is "thirteen billion, thirty-four million, three hundred twenty-four thousand, three hundred thirty-one".

Divisors: 1 3 7 9 21 27 49 63 147 189 441 1323 9852097 29556291 68964679 88668873 206894037 266006619 482752753 620682111 1448258259 1862046333 4344774777 13034324331