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12103012200033 = 32192941499119293
BaseRepresentation
bin1011000000011111001110…
…1111100010111001100001
31120212000222201201001200100
42300013303233202321201
53041243432110400113
641424014055013013
72356261632165216
oct260076357427141
946760881631610
1012103012200033
113946949953417
12143578a36a169
1369a4032958c1
142dbb08addb0d
1515ec6180dd73
hexb01f3be2e61

12103012200033 has 96 divisors (see below), whose sum is σ = 19540357200000. Its totient is φ = 7185921039360.

The previous prime is 12103012199981. The next prime is 12103012200053. The reversal of 12103012200033 is 33000221030121.

It is not a de Polignac number, because 12103012200033 - 214 = 12103012183649 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12103012199979 and 12103012200015.

It is not an unprimeable number, because it can be changed into a prime (12103012200053) 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 95 ways as a sum of consecutive naturals, for example, 101396535 + ... + 101515827.

It is an arithmetic number, because the mean of its divisors is an integer number (203545387500).

Almost surely, 212103012200033 is an apocalyptic number.

It is an amenable number.

12103012200033 is a deficient number, since it is larger than the sum of its proper divisors (7437344999967).

12103012200033 is a wasteful number, since it uses less digits than its factorization.

12103012200033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119887 (or 119884 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12103012200033 its reverse (33000221030121), we get a palindrome (45103233230154).

The spelling of 12103012200033 in words is "twelve trillion, one hundred three billion, twelve million, two hundred thousand, thirty-three".

Divisors: 1 3 9 19 29 41 57 87 123 171 261 369 499 551 779 1189 1497 1653 2337 3567 4491 4959 7011 9481 10701 14471 20459 22591 28443 43413 61377 67773 85329 119293 130239 184131 203319 274949 357879 388721 593311 824847 1073637 1166163 1779933 2266567 2474541 3459497 3498489 4891013 5339799 6799701 10378491 11272909 14673039 20399103 31135473 33818727 44019117 59527207 65730443 92929247 101456181 141839377 178581621 197191329 278787741 425518131 535744863 591573987 836363223 1131016933 1276554393 1726289003 2440615487 2694948163 3393050799 5178867009 7321846461 8084844489 10179152397 15536601027 21965539383 24254533467 32799491057 46371694253 70777849123 98398473171 139115082759 212333547369 295195419513 417345248277 637000642107 1344779133337 4034337400011 12103012200033