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13112122105 = 5672613953
BaseRepresentation
bin11000011011000101…
…10001101011111001
31020211210202211002001
430031202301223321
5203323200401410
610005034141001
7642634125145
oct141542615371
936753684061
1013112122105
1156194a6455
12265b281761
13130c69ac44
148c55d4225
1551b1ed33a
hex30d8b1af9

13112122105 has 24 divisors (see below), whose sum is σ = 16015740552. Its totient is φ = 10305453312.

The previous prime is 13112122073. The next prime is 13112122109. The reversal of 13112122105 is 50122121131.

It can be written as a sum of positive squares in 4 ways, for example, as 93083904 + 13019038201 = 9648^2 + 114101^2 .

It is not a de Polignac number, because 13112122105 - 25 = 13112122073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13112122109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13758309 + ... + 13759261.

It is an arithmetic number, because the mean of its divisors is an integer number (667322523).

Almost surely, 213112122105 is an apocalyptic number.

It is an amenable number.

13112122105 is a deficient number, since it is larger than the sum of its proper divisors (2903618447).

13112122105 is an frugal number, since it uses more digits than its factorization.

13112122105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1705 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 19.

Adding to 13112122105 its reverse (50122121131), we get a palindrome (63234243236).

The spelling of 13112122105 in words is "thirteen billion, one hundred twelve million, one hundred twenty-two thousand, one hundred five".

Divisors: 1 5 67 335 613 953 3065 4489 4765 22445 41071 63851 205355 319255 584189 2751757 2920945 4278017 13758785 21390085 39140663 195703315 2622424421 13112122105