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102122001211209 = 371923113277355517
BaseRepresentation
bin10111001110000100100001…
…100110110001111101001001
3111101120202201211222001102220
4113032010201212301331021
5101341131324302224314
61001110111045044253
730340033250630610
oct2716044146617511
9441522654861386
10102122001211209
112a5a2774406741
12b553b176b6689
1344ca0a9374105
141b30a346da877
15bc16632a43a9
hex5ce1219b1f49

102122001211209 has 128 divisors (see below), whose sum is σ = 173062294364160. Its totient is φ = 52223104733184.

The previous prime is 102122001211207. The next prime is 102122001211231. The reversal of 102122001211209 is 902112100221201.

It is not a de Polignac number, because 102122001211209 - 21 = 102122001211207 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102122001211201) by changing a digit.

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, 287071519 + ... + 287427035.

It is an arithmetic number, because the mean of its divisors is an integer number (1352049174720).

Almost surely, 2102122001211209 is an apocalyptic number.

102122001211209 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

102122001211209 is a deficient number, since it is larger than the sum of its proper divisors (70940293152951).

102122001211209 is a wasteful number, since it uses less digits than its factorization.

102122001211209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355959.

The product of its (nonzero) digits is 288, while the sum is 24.

The spelling of 102122001211209 in words is "one hundred two trillion, one hundred twenty-two billion, one million, two hundred eleven thousand, two hundred nine".

Divisors: 1 3 7 19 21 23 57 69 113 133 161 277 339 399 437 483 791 831 1311 1939 2147 2373 2599 3059 5263 5817 6371 6441 7797 9177 15029 15789 18193 19113 31301 36841 44597 45087 49381 54579 93903 110523 121049 133791 148143 219107 345667 355517 363147 594719 657321 719923 847343 1037001 1066551 1784157 2159769 2488619 2542029 4163033 5039461 6754823 7465857 8176891 12489099 13678537 15118383 20264469 24530673 40173421 41035611 47283761 57238237 95749759 98478209 120520263 141851283 155360929 171714711 281213947 287249277 295434627 466082787 689347463 763294999 843641841 923988683 1087526503 1871085971 2068042389 2264998807 2289884997 2771966049 3262579509 5343064993 5613257913 6467920781 6794996421 11128037617 13097601797 15854991649 16029194979 17555784977 19403762343 33384112851 39292805391 43034977333 47564974947 52667354931 77896263319 122890494839 129104931999 211432714723 233688789957 255944865191 301244841331 368671484517 634298144169 767834595573 903734523993 1480029003061 1791614056337 4440087009183 4862952438629 5374842169011 14588857315887 34040667070403 102122001211209