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133134113365065 = 33547271503153929
BaseRepresentation
bin11110010001010110110011…
…100010001101110001001001
3122110101111102021020101221000
4132101112303202031301021
5114422232131010140230
61151052544540205213
740020423303565101
oct3621266342156111
9573344367211830
10133134113365065
113946995121709a
1212b22349239809
135939654221227
1424c3a22984201
15105d1ccd1ab60
hex7915b388dc49

133134113365065 has 128 divisors (see below), whose sum is σ = 243094531276800. Its totient is φ = 69099584509440.

The previous prime is 133134113365051. The next prime is 133134113365093. The reversal of 133134113365065 is 560563311431331.

133134113365065 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 3 + 4 + 1 + 133 + 6 + 506 + 5 = 666.

It is not a de Polignac number, because 133134113365065 - 24 = 133134113365049 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 133134113365065.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 864829021 + ... + 864982949.

It is an arithmetic number, because the mean of its divisors is an integer number (1899176025600).

Almost surely, 2133134113365065 is an apocalyptic number.

133134113365065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

133134113365065 is a deficient number, since it is larger than the sum of its proper divisors (109960417911735).

133134113365065 is a wasteful number, since it uses less digits than its factorization.

133134113365065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154764 (or 154758 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 45.

Adding to 133134113365065 its reverse (560563311431331), we get a palindrome (693697424796396).

The spelling of 133134113365065 in words is "one hundred thirty-three trillion, one hundred thirty-four billion, one hundred thirteen million, three hundred sixty-five thousand, sixty-five".

Divisors: 1 3 5 9 15 27 45 47 135 141 235 271 423 503 705 813 1269 1355 1509 2115 2439 2515 4065 4527 6345 7317 7545 12195 12737 13581 22635 23641 36585 38211 63685 67905 70923 114633 118205 136313 153929 191055 212769 343899 354615 408939 461787 573165 638307 681565 769645 1063845 1226817 1385361 1719495 2044695 2308935 3191535 3680451 4156083 6134085 6406711 6926805 7234663 18402255 19220133 20780415 21703989 32033555 36173315 41714759 57660399 65111967 77426287 96100665 108519945 125144277 172981197 195335901 208573795 232278861 288301995 325559835 375432831 387131435 625721385 696836583 864905985 976679505 1126298493 1161394305 1877164155 1960593673 2090509749 3484182915 3639035489 5631492465 5881781019 9802968365 10452548745 10917106467 17645343057 18195177445 20982523777 29408905095 32751319401 52936029171 54585532335 62947571331 88226715285 98253958203 104912618885 163756597005 188842713993 264680145855 314737856655 491269791015 566528141979 944213569965 986178617519 2832640709895 2958535852557 4930893087595 8875607557671 14792679262785 26626822673013 44378037788355 133134113365065