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104131120314123 = 32716324142199973
BaseRepresentation
bin10111101011010011101010…
…011011111011011100001011
3111122200211121211000022220100
4113223103222123323130023
5102122041013300022443
61005245102024100443
730635140143343560
oct2753235233733413
9448624554008810
10104131120314123
11301a783a7a7511
12b819385604723
1346146a3c5a266
141b9dd8a326867
15c08a51b383d3
hex5eb4ea6fb70b

104131120314123 has 96 divisors (see below), whose sum is σ = 173729819394560. Its totient is φ = 58873194593280.

The previous prime is 104131120314083. The next prime is 104131120314139. The reversal of 104131120314123 is 321413021131401.

104131120314123 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 311 + 20 + 314 + 12 + 3 = 666.

It is not a de Polignac number, because 104131120314123 - 212 = 104131120310027 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (104131120334123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10441298565 + ... + 10441308537.

Almost surely, 2104131120314123 is an apocalyptic number.

104131120314123 is a deficient number, since it is larger than the sum of its proper divisors (69598699080437).

104131120314123 is a wasteful number, since it uses less digits than its factorization.

104131120314123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14609 (or 14606 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 104131120314123 its reverse (321413021131401), we get a palindrome (425544141445524).

The spelling of 104131120314123 in words is "one hundred four trillion, one hundred thirty-one billion, one hundred twenty million, three hundred fourteen thousand, one hundred twenty-three".

Divisors: 1 3 7 9 21 63 163 241 489 723 1141 1467 1687 2169 3423 4219 5061 9973 10269 12657 15183 29533 29919 37971 39283 69811 88599 89757 117849 209433 265797 274981 353547 628299 687697 824943 1016779 1625599 2063091 2403493 2474829 3050337 4813879 4876797 6189273 7117453 7210479 9151011 11379193 14441637 14630391 16824451 21352359 21631437 34137579 42076087 43324911 50473353 64057077 102412737 126228261 151420059 165734977 294532609 378684783 391769359 497204931 883597827 1160144839 1175308077 1491614793 2650793481 2742385513 3480434517 3525924231 6858402181 8227156539 10140336967 10441303551 20575206543 24681469617 30421010901 48008815267 61725619629 70982358769 91263032703 144026445801 212947076307 432079337403 638841228921 1652874925621 4958624776863 11570124479347 14875874330589 34710373438041 104131120314123