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12102112001109 = 3131132746111187
BaseRepresentation
bin1011000000011011111000…
…0101100011110001010101
31120211221122222211012220110
42300012332011203301111
53041240111133013414
641423344500353233
72356230421500444
oct260067605436125
946757588735813
1012102112001109
1139465277a5669
1214355789a5819
1369a2bb92c810
142dba61330d5b
1515ec0c793459
hexb01be163c55

12102112001109 has 16 divisors (see below), whose sum is σ = 17531173824192. Its totient is φ = 7381546867968.

The previous prime is 12102112001107. The next prime is 12102112001183. The reversal of 12102112001109 is 90110021120121.

It is not a de Polignac number, because 12102112001109 - 21 = 12102112001107 is a prime.

It is a super-3 number, since 3×121021120011093 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12102112001107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1373051187 + ... + 1373060000.

It is an arithmetic number, because the mean of its divisors is an integer number (1095698364012).

Almost surely, 212102112001109 is an apocalyptic number.

It is an amenable number.

12102112001109 is a deficient number, since it is larger than the sum of its proper divisors (5429061823083).

12102112001109 is a wasteful number, since it uses less digits than its factorization.

12102112001109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2746111316.

The product of its (nonzero) digits is 72, while the sum is 21.

The spelling of 12102112001109 in words is "twelve trillion, one hundred two billion, one hundred twelve million, one thousand, one hundred nine".

Divisors: 1 3 13 39 113 339 1469 4407 2746111187 8238333561 35699445431 107098336293 310310564131 930931692393 4034037333703 12102112001109