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13131719071 = 17192931411103
BaseRepresentation
bin11000011101011011…
…00010000110011111
31020220011122110001121
430032231202012133
5203343210002241
610011014151411
7643262525152
oct141655420637
936804573047
1013131719071
115629570999
122665952567
13131376ca93
148c8055c99
1551ccbead1
hex30eb6219f

13131719071 has 64 divisors (see below), whose sum is σ = 16024780800. Its totient is φ = 10663833600.

The previous prime is 13131719057. The next prime is 13131719087. The reversal of 13131719071 is 17091713131.

It is not a de Polignac number, because 13131719071 - 227 = 12997501343 is a prime.

It is a super-3 number, since 3×131317190713 (a number of 31 digits) contains 333 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 (13131719011) 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, 11904906 + ... + 11906008.

It is an arithmetic number, because the mean of its divisors is an integer number (250387200).

Almost surely, 213131719071 is an apocalyptic number.

13131719071 is a deficient number, since it is larger than the sum of its proper divisors (2893061729).

13131719071 is a wasteful number, since it uses less digits than its factorization.

13131719071 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1240.

The product of its (nonzero) digits is 3969, while the sum is 34.

The spelling of 13131719071 in words is "thirteen billion, one hundred thirty-one million, seven hundred nineteen thousand, seventy-one".

Divisors: 1 17 19 29 31 41 323 493 527 551 589 697 779 899 1103 1189 1271 9367 10013 13243 15283 17081 18751 20213 20957 21607 22591 24149 31987 34193 36859 45223 290377 356269 384047 410533 543779 581281 607753 626603 649667 700321 768791 859237 991597 1311467 1401913 10331801 11044339 11905457 14607029 16857149 18840343 22294939 23832521 24917873 26636347 40655477 320285831 423603841 452817899 691143109 772454063 13131719071