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104205441303 = 33234761107547
BaseRepresentation
bin110000100001100100…
…0001101100100010111
3100221222020220220012000
41201003020031210113
53201403043110203
6115512112130343
710346210431215
oct1410310154427
9327866826160
10104205441303
1140214289427
12182422369b3
139a98b72052
1450877b1cb5
152a9d5414a3
hex184320d917

104205441303 has 128 divisors (see below), whose sum is σ = 169086320640. Its totient is φ = 63256152960.

The previous prime is 104205441299. The next prime is 104205441313. The reversal of 104205441303 is 303144502401.

It is a happy number.

104205441303 is a `hidden beast` number, since 10 + 4 + 205 + 441 + 3 + 0 + 3 = 666.

It is not a de Polignac number, because 104205441303 - 22 = 104205441299 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104205441313) 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, 190503276 + ... + 190503822.

It is an arithmetic number, because the mean of its divisors is an integer number (1320986880).

Almost surely, 2104205441303 is an apocalyptic number.

104205441303 is a deficient number, since it is larger than the sum of its proper divisors (64880879337).

104205441303 is a wasteful number, since it uses less digits than its factorization.

104205441303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 104205441303 its reverse (303144502401), we get a palindrome (407349943704).

The spelling of 104205441303 in words is "one hundred four billion, two hundred five million, four hundred forty-one thousand, three hundred three".

Divisors: 1 3 9 23 27 47 61 69 107 141 183 207 321 423 547 549 621 963 1081 1269 1403 1641 1647 2461 2867 2889 3243 4209 4923 5029 6527 7383 8601 9729 12581 12627 14769 15087 19581 22149 25709 25803 29187 33367 37743 37881 45261 58529 58743 65941 66447 77127 77409 100101 113229 115667 135783 150121 175587 176229 197823 231381 300303 306769 339687 347001 450363 526761 591307 593469 694143 767441 900909 920307 1041003 1346167 1351089 1568249 1580283 1773921 1780407 2302323 2750863 2760921 3123009 3570269 4038501 4053267 4704747 5321763 6906969 7055687 8252589 8282763 10710807 12115503 14114241 15965289 20720907 21167061 24757767 32132421 36069727 36346509 42342723 63269849 63501183 74273301 82116187 96397263 108209181 167802643 189809547 190503549 246348561 324627543 503407929 569428641 739045683 973882629 1510223787 1708285923 2217137049 3859460789 4530671361 11578382367 34735147101 104205441303