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13304300340331 = 7111313291009331
BaseRepresentation
bin1100000110011010011000…
…0110001000010001101011
31202002212201120021110221201
43001212212012020101223
53220434201341342311
644143524452545031
72542126651665310
oct301464606102153
952085646243851
1013304300340331
11426a35a777370
1215aa567322177
137567896c53b0
1433dd0833cd07
1518111e6459c1
hexc19a618846b

13304300340331 has 16 divisors (see below), whose sum is σ = 17863116542208. Its totient is φ = 9569526717600.

The previous prime is 13304300340323. The next prime is 13304300340367.

13304300340331 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 13304300340331 - 23 = 13304300340323 is a prime.

It is a super-2 number, since 2×133043003403312 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13304300340331.

It is not an unprimeable number, because it can be changed into a prime (13304300340311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6645503665 + ... + 6645505666.

It is an arithmetic number, because the mean of its divisors is an integer number (1116444783888).

Almost surely, 213304300340331 is an apocalyptic number.

13304300340331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13304300340331 is a deficient number, since it is larger than the sum of its proper divisors (4558816201877).

13304300340331 is a wasteful number, since it uses less digits than its factorization.

13304300340331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13291009362.

The product of its (nonzero) digits is 11664, while the sum is 28.

It can be divided in two parts, 13304300 and 340331, that added together give a palindrome (13644631).

The spelling of 13304300340331 in words is "thirteen trillion, three hundred four billion, three hundred million, three hundred forty thousand, three hundred thirty-one".

Divisors: 1 7 11 13 77 91 143 1001 13291009331 93037065317 146201102641 172783121303 1023407718487 1209481849121 1900614334333 13304300340331