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13271662631431 = 17193134719072003
BaseRepresentation
bin1100000100100000110010…
…1111001001101000000111
31201222202110222200002012101
43001020030233021220013
53214420331113201211
644120530113332531
72536563113022121
oct301101457115007
951882428602171
1013271662631431
114257531622626
1215a4178b67147
13753687a165c9
1433c4cd878211
1518035e18d5c1
hexc120cbc9a07

13271662631431 has 64 divisors (see below), whose sum is σ = 15328787742720. Its totient is φ = 11407141025280.

The previous prime is 13271662631419. The next prime is 13271662631441. The reversal of 13271662631431 is 13413626617231.

It is a cyclic number.

It is not a de Polignac number, because 13271662631431 - 223 = 13271654242823 is a prime.

It is a super-2 number, since 2×132716626314312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13271662631441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6625891476 + ... + 6625893478.

It is an arithmetic number, because the mean of its divisors is an integer number (239512308480).

Almost surely, 213271662631431 is an apocalyptic number.

13271662631431 is a deficient number, since it is larger than the sum of its proper divisors (2057125111289).

13271662631431 is a wasteful number, since it uses less digits than its factorization.

13271662631431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4324.

The product of its digits is 653184, while the sum is 46.

The spelling of 13271662631431 in words is "thirteen trillion, two hundred seventy-one billion, six hundred sixty-two million, six hundred thirty-one thousand, four hundred thirty-one".

Divisors: 1 17 19 31 323 347 527 589 1907 2003 5899 6593 10013 10757 32419 34051 36233 38057 59117 62093 112081 182869 204383 615961 646969 661729 695041 1004989 1055581 1123223 1179767 3474511 3819721 11249393 11815697 12572851 13205779 19094791 20056039 20513599 21546271 64935257 72574699 118411351 213738467 224498243 348731183 366286607 389758381 409379149 1233769883 1325443187 2012992967 2249815669 6625892477 6959445533 22532534179 25183420553 38246866373 41088738797 428118149401 698508559549 780686037143 13271662631431