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13255521304041 = 35731396178713
BaseRepresentation
bin1100000011100100101010…
…1000110111110111101001
31201221012211001220200200000
43000321022220313313221
53214134301423212131
644105300304533213
72535452114012442
oct300711250676751
951835731820600
1013255521304041
1142506a9229435
1215a1013321209
13751cb48a9b03
1433b7dbc382c9
1517ec1707cce6
hexc0e4aa37de9

13255521304041 has 96 divisors (see below), whose sum is σ = 20308000702080. Its totient is φ = 8638238214144.

The previous prime is 13255521304033. The next prime is 13255521304073. The reversal of 13255521304041 is 14040312555231.

13255521304041 is a `hidden beast` number, since 1 + 3 + 2 + 55 + 521 + 3 + 0 + 40 + 41 = 666.

It is not a de Polignac number, because 13255521304041 - 23 = 13255521304033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13255521303987 and 13255521304005.

It is not an unprimeable number, because it can be changed into a prime (13255521304141) 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 95 ways as a sum of consecutive naturals, for example, 1521345501 + ... + 1521354213.

It is an arithmetic number, because the mean of its divisors is an integer number (211541673980).

Almost surely, 213255521304041 is an apocalyptic number.

It is an amenable number.

13255521304041 is a deficient number, since it is larger than the sum of its proper divisors (7052479398039).

13255521304041 is an equidigital number, since it uses as much as digits as its factorization.

13255521304041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9557 (or 9545 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 13255521304041 its reverse (14040312555231), we get a palindrome (27295833859272).

The spelling of 13255521304041 in words is "thirteen trillion, two hundred fifty-five billion, five hundred twenty-one million, three hundred four thousand, forty-one".

Divisors: 1 3 9 27 73 81 139 219 243 417 617 657 1251 1851 1971 3753 5553 5913 8713 10147 11259 16659 17739 26139 30441 33777 45041 49977 78417 85763 91323 135123 149931 235251 257289 273969 405369 636049 705753 771867 821907 1211107 1216107 1908147 2117259 2315601 2465721 3633321 3648321 5375921 5724441 6260699 6946803 10899963 10944963 16127763 17173323 18782097 20840409 32699889 48383289 51519969 56346291 88410811 98099667 145149867 154559907 169038873 265232433 294299001 392442233 435449601 507116619 747253019 795697299 1177326699 1306348803 1521349857 2241759057 2387091897 3531980097 6725277171 7161275691 10595940291 20175831513 21483827073 31787820873 54549470387 60527494539 95363462619 163648411161 181582483617 490945233483 1472835700449 4418507101347 13255521304041