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104162112505341 = 32111399775169147
BaseRepresentation
bin10111101011110000100001…
…101101110000010111111101
3111122210210121201021202202100
4113223300201231300113331
5102123043001300132331
61005311225222215313
730640315151541312
oct2753604155602775
9448723551252670
10104162112505341
11302099a4010490
12b823394884539
1346175a2a57147
141ba168a448d09
15c097678eeae6
hex5ebc21b705fd

104162112505341 has 24 divisors (see below), whose sum is σ = 164145966457824. Its totient is φ = 63124042044960.

The previous prime is 104162112505273. The next prime is 104162112505379. The reversal of 104162112505341 is 143505211261401.

104162112505341 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 6 + 2 + 112 + 5 + 0 + 534 + 1 = 666.

It is not a de Polignac number, because 104162112505341 - 214 = 104162112488957 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 104162112505296 and 104162112505305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104162112505391) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36198871 + ... + 38970276.

It is an arithmetic number, because the mean of its divisors is an integer number (6839415269076).

Almost surely, 2104162112505341 is an apocalyptic number.

104162112505341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

104162112505341 is a deficient number, since it is larger than the sum of its proper divisors (59983853952483).

104162112505341 is a wasteful number, since it uses less digits than its factorization.

104162112505341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75183161 (or 75183158 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

Adding to 104162112505341 its reverse (143505211261401), we get a palindrome (247667323766742).

The spelling of 104162112505341 in words is "one hundred four trillion, one hundred sixty-two billion, one hundred twelve million, five hundred five thousand, three hundred forty-one".

Divisors: 1 3 9 11 33 99 13997 41991 125973 153967 461901 1385703 75169147 225507441 676522323 826860617 2480581851 7441745553 1052142550559 3156427651677 9469282955031 11573568056149 34720704168447 104162112505341