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13110262960041 = 32131673637184487
BaseRepresentation
bin1011111011000111100010…
…0100010000111110101001
31201102022212202201021000100
42332301320210100332221
53204244304304210131
643514434402300013
72522120352322242
oct276617044207651
951368782637010
1013110262960041
1141a5038725655
121578a34657609
137413a57b4980
1433477c0d9cc9
1517b0648c37e6
hexbec78910fa9

13110262960041 has 48 divisors (see below), whose sum is σ = 20521612710144. Its totient is φ = 8017295179392.

The previous prime is 13110262960037. The next prime is 13110262960129. The reversal of 13110262960041 is 14006926201131.

It is a happy number.

13110262960041 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 0 + 2 + 6 + 2 + 9 + 600 + 41 = 666.

It is not a de Polignac number, because 13110262960041 - 22 = 13110262960037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13110262959978 and 13110262960005.

It is not an unprimeable number, because it can be changed into a prime (13110269960041) 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 47 ways as a sum of consecutive naturals, for example, 70971100 + ... + 71155586.

It is an arithmetic number, because the mean of its divisors is an integer number (427533598128).

Almost surely, 213110262960041 is an apocalyptic number.

It is an amenable number.

13110262960041 is a deficient number, since it is larger than the sum of its proper divisors (7411349750103).

13110262960041 is a wasteful number, since it uses less digits than its factorization.

13110262960041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188310 (or 188307 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 13110262960041 in words is "thirteen trillion, one hundred ten billion, two hundred sixty-two million, nine hundred sixty thousand, forty-one".

Divisors: 1 3 9 13 39 117 167 501 1503 2171 3637 6513 10911 19539 32733 47281 141843 184487 425529 553461 607379 1660383 1822137 2398331 5466411 7194993 7895927 21584979 23687781 30809329 71063343 92427987 277283961 400521277 670979219 1201563831 2012937657 3604691493 6038812971 8722729847 26168189541 78504568623 112053529573 336160588719 1008481766157 1456695884449 4370087653347 13110262960041