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131345102031423 = 37195319349165543
BaseRepresentation
bin11101110111010100101010…
…001001100100101000111111
3122020001110122222210022212020
4131313110222021210220333
5114203424232110001143
61143203035030411223
736444241033264140
oct3567245211445077
9566043588708766
10131345102031423
113893a165a34155
1212893688b00b13
135839a36765a87
1424611cb775ac7
15102b8c2d63883
hex77752a264a3f

131345102031423 has 128 divisors (see below), whose sum is σ = 216208870686720. Its totient is φ = 69258661355520.

The previous prime is 131345102031389. The next prime is 131345102031431. The reversal of 131345102031423 is 324130201543131.

It is not a de Polignac number, because 131345102031423 - 221 = 131345099934271 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131345102031023) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2003920390 + ... + 2003985932.

It is an arithmetic number, because the mean of its divisors is an integer number (1689131802240).

Almost surely, 2131345102031423 is an apocalyptic number.

131345102031423 is a deficient number, since it is larger than the sum of its proper divisors (84863768655297).

131345102031423 is a wasteful number, since it uses less digits than its factorization.

131345102031423 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66309.

The product of its (nonzero) digits is 25920, while the sum is 33.

Adding to 131345102031423 its reverse (324130201543131), we get a palindrome (455475303574554).

The spelling of 131345102031423 in words is "one hundred thirty-one trillion, three hundred forty-five billion, one hundred two million, thirty-one thousand, four hundred twenty-three".

Divisors: 1 3 7 19 21 53 57 133 159 193 371 399 491 579 1007 1113 1351 1473 3021 3437 3667 4053 7049 9329 10229 10311 11001 21147 25669 26023 27987 30687 65303 65543 71603 77007 78069 94763 182161 194351 195909 196629 214809 284289 458801 494437 546483 583053 663341 1245317 1360457 1376403 1483311 1800497 1990023 3461059 3473779 3735951 4081371 5022439 5401491 8717219 10383177 10421337 12603479 12649799 15067317 24316453 26151657 32181613 35157073 37810437 37949397 66001801 72949359 88548593 95426341 96544839 105471219 198005403 225271291 240346181 265645779 286279023 462012607 611450647 667984387 670439347 675813873 721038543 1386037821 1682423267 1705625489 1834351941 2003953161 2011318041 4280154529 4693075429 5047269801 5116876467 6211051309 11939378423 12738347593 12840463587 14079226287 18633153927 32406884291 35818135269 38215042779 43477359163 89168433151 97220652873 118009974871 130432077489 226848190037 267505299453 329185719377 354029924613 680544570111 826069824097 987557158131 2304300035639 2478209472291 6254528668163 6912900106917 18763586004489 43781700677141 131345102031423