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117143504235 = 335371071491471
BaseRepresentation
bin110110100011001001…
…1000000010101101011
3102012100221011120222000
41231012103000111223
53404402214113420
6125452011502043
711314632233262
oct1550623002553
9365327146860
10117143504235
11457534aa61a
121a853157923
13b07b4691a4
145953c175d9
1530a930b690
hex1b464c056b

117143504235 has 128 divisors (see below), whose sum is σ = 217479168000. Its totient is φ = 59775045120.

The previous prime is 117143504209. The next prime is 117143504279. The reversal of 117143504235 is 532405341711.

117143504235 is a `hidden beast` number, since 1 + 1 + 7 + 143 + 504 + 2 + 3 + 5 = 666.

It is not a de Polignac number, because 117143504235 - 29 = 117143503723 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 117143504235.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 79634550 + ... + 79636020.

It is an arithmetic number, because the mean of its divisors is an integer number (1699056000).

Almost surely, 2117143504235 is an apocalyptic number.

117143504235 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

117143504235 is a deficient number, since it is larger than the sum of its proper divisors (100335663765).

117143504235 is a wasteful number, since it uses less digits than its factorization.

117143504235 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1778 (or 1772 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

Adding to 117143504235 its reverse (532405341711), we get a palindrome (649548845946).

The spelling of 117143504235 in words is "one hundred seventeen billion, one hundred forty-three million, five hundred four thousand, two hundred thirty-five".

Divisors: 1 3 5 9 15 27 37 45 107 111 135 149 185 321 333 447 535 555 745 963 999 1341 1471 1605 1665 2235 2889 3959 4023 4413 4815 4995 5513 6705 7355 11877 13239 14445 15943 16539 19795 20115 22065 27565 35631 39717 47829 49617 54427 59385 66195 79715 82695 106893 143487 148851 157397 163281 178155 198585 219179 239145 248085 272135 430461 472191 489843 534465 589891 657537 717435 744255 786985 816405 1095895 1416573 1469529 1769673 1972611 2152305 2360955 2449215 2949455 3287685 4249719 5309019 5823689 5917833 7082865 7347645 8109623 8848365 9863055 15927057 17471067 21248595 23452153 24328869 26545095 29118445 29589165 40548115 52413201 70356459 72986607 79635285 87355335 117260765 121644345 157239603 211069377 218959821 262066005 351782295 364933035 633208131 786198015 867729661 1055346885 1094799105 2603188983 3166040655 4338648305 7809566949 13015944915 23428700847 39047834745 117143504235