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13260666606231 = 3113713711792101
BaseRepresentation
bin1100000011110111110101…
…0100101001001010010111
31201221201002122201010100210
43000331331110221022113
53214230321122344411
644111511030340503
72536023452242452
oct300757524511227
951851078633323
1013260666606231
1142528a965a0a0
1215a200a4ba733
13752624881215
1433bb69320499
1517ee18b36ca6
hexc0f7d529297

13260666606231 has 32 divisors (see below), whose sum is σ = 19811015986176. Its totient is φ = 7818977520000.

The previous prime is 13260666606167. The next prime is 13260666606269.

13260666606231 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13260666606231 - 26 = 13260666606167 is a prime.

It is a super-2 number, since 2×132606666062312 (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13260666606331) 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, 16345081 + ... + 17137181.

It is an arithmetic number, because the mean of its divisors is an integer number (619094249568).

Almost surely, 213260666606231 is an apocalyptic number.

13260666606231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13260666606231 is a deficient number, since it is larger than the sum of its proper divisors (6550349379945).

13260666606231 is a wasteful number, since it uses less digits than its factorization.

13260666606231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805863.

The product of its (nonzero) digits is 1679616, while the sum is 48.

The spelling of 13260666606231 in words is "thirteen trillion, two hundred sixty billion, six hundred sixty-six million, six hundred six thousand, two hundred thirty-one".

Divisors: 1 3 11 33 37 111 407 1221 13711 41133 150821 452463 507307 792101 1521921 2376303 5580377 8713111 16741131 26139333 29307737 87923211 322385107 967155321 10860496811 32581490433 119465464921 358396394763 401838382007 1205515146021 4420222202077 13260666606231