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122168482065 = 3557137104849
BaseRepresentation
bin111000111000111001…
…1110001100100010001
3102200100010112220200000
41301301303301210101
54000200112411230
6132042354320213
711553306651360
oct1616163614421
9380303486600
10122168482065
11478a1a17863
121b815b89069
13b69c531b56
145cad33b7d7
1532a0548b60
hex1c71cf1911

122168482065 has 96 divisors (see below), whose sum is σ = 252807609600. Its totient is φ = 55440267264.

The previous prime is 122168482057. The next prime is 122168482169. The reversal of 122168482065 is 560284861221.

122168482065 is a `hidden beast` number, since 1 + 2 + 2 + 168 + 482 + 0 + 6 + 5 = 666.

It is not a de Polignac number, because 122168482065 - 23 = 122168482057 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 122168482065.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1112761 + ... + 1217609.

It is an arithmetic number, because the mean of its divisors is an integer number (2633412600).

Almost surely, 2122168482065 is an apocalyptic number.

122168482065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

122168482065 is an abundant number, since it is smaller than the sum of its proper divisors (130639127535).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122168482065 is a wasteful number, since it uses less digits than its factorization.

122168482065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105013 (or 105001 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 122168482065 in words is "one hundred twenty-two billion, one hundred sixty-eight million, four hundred eighty-two thousand, sixty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 105 135 137 189 243 315 405 411 567 685 945 959 1215 1233 1701 2055 2835 2877 3699 4795 6165 8505 8631 11097 14385 18495 25893 33291 43155 55485 77679 104849 129465 166455 233037 314547 388395 524245 733943 943641 1165185 1572735 2201829 2830923 3669715 4718205 6605487 8492769 11009145 14154615 14364313 19816461 25478307 33027435 42463845 43092939 59449383 71821565 99082305 100550191 127391535 129278817 178348149 215464695 297246915 301650573 387836451 502750955 646394085 891740745 904951719 1163509353 1508252865 1939182255 2714855157 3490528059 4524758595 5817546765 8144565471 13574275785 17452640295 24433696413 40722827355 122168482065