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12213132102105 = 35111071970935099
BaseRepresentation
bin1011000110111001011101…
…1001101000100111011001
31121020120020011201200202220
42301232113121220213121
53100044443304231410
641550345130414253
72400240541001334
oct261562731504731
947216204650686
1012213132102105
113989618748750
121452ba1291389
136a7902583c7c
14303193bb561b
15162a591dd070
hexb1b976689d9

12213132102105 has 64 divisors (see below), whose sum is σ = 21518400384000. Its totient is φ = 5865712536320.

The previous prime is 12213132102047. The next prime is 12213132102169. The reversal of 12213132102105 is 50120123131221.

It is not a de Polignac number, because 12213132102105 - 29 = 12213132101593 is a prime.

It is a super-2 number, since 2×122131321021052 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 347944846 + ... + 347979944.

It is an arithmetic number, because the mean of its divisors is an integer number (336225006000).

Almost surely, 212213132102105 is an apocalyptic number.

12213132102105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12213132102105 is a deficient number, since it is larger than the sum of its proper divisors (9305268281895).

12213132102105 is a wasteful number, since it uses less digits than its factorization.

12213132102105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54934.

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 12213132102105 its reverse (50120123131221), we get a palindrome (62333255233326).

The spelling of 12213132102105 in words is "twelve trillion, two hundred thirteen billion, one hundred thirty-two million, one hundred two thousand, one hundred five".

Divisors: 1 3 5 11 15 33 55 107 165 321 535 1177 1605 3531 5885 17655 19709 35099 59127 98545 105297 175495 216799 295635 386089 526485 650397 1083995 1158267 1930445 2108863 3251985 3755593 5791335 6326589 10544315 11266779 18777965 23197493 31632945 41311523 56333895 69592479 115987465 123934569 206557615 347962395 619672845 691766191 2075298573 3458830955 7609428101 10376492865 22828284303 38047140505 74018982437 114141421515 222056947311 370094912185 814208806807 1110284736555 2442626420421 4071044034035 12213132102105