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13212696105 = 35573794099
BaseRepresentation
bin11000100111000100…
…11011111000101001
31021002211000111200000
430103202123320221
5204024422233410
610023025533213
7645265030620
oct142342337051
937084014600
1013212696105
11567024a164
122688aa4209
131327482a9b
148d4ad46b7
15524e67dc0
hex31389be29

13212696105 has 96 divisors (see below), whose sum is σ = 27221376000. Its totient is φ = 6022683072.

The previous prime is 13212696103. The next prime is 13212696113. The reversal of 13212696105 is 50169621231.

13212696105 is a `hidden beast` number, since 1 + 32 + 1 + 2 + 6 + 9 + 610 + 5 = 666.

13212696105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13212696105 - 21 = 13212696103 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13212696105.

It is not an unprimeable number, because it can be changed into a prime (13212696103) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 3221346 + ... + 3225444.

It is an arithmetic number, because the mean of its divisors is an integer number (283556000).

Almost surely, 213212696105 is an apocalyptic number.

13212696105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13212696105 is an abundant number, since it is smaller than the sum of its proper divisors (14008679895).

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

13212696105 is an equidigital number, since it uses as much as digits as its factorization.

13212696105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4505 (or 4493 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 13212696105 in words is "thirteen billion, two hundred twelve million, six hundred ninety-six thousand, one hundred five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 105 135 189 243 315 379 405 567 945 1137 1215 1701 1895 2653 2835 3411 4099 5685 7959 8505 10233 12297 13265 17055 20495 23877 28693 30699 36891 39795 51165 61485 71631 86079 92097 110673 119385 143465 153495 184455 214893 258237 332019 358155 430395 460485 553365 644679 774711 996057 1074465 1291185 1553521 1660095 2324133 3223395 3873555 4660563 4980285 6972399 7767605 10874647 11620665 13981689 23302815 32623941 34861995 41945067 54373235 69908445 97871823 125835201 163119705 209725335 293615469 377505603 489359115 629176005 880846407 1468077345 1887528015 2642539221 4404232035 13212696105