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12111123131141 = 374173109364401
BaseRepresentation
bin1011000000111101011100…
…1100010010101100000101
31120212210220222212001110012
42300033113030102230011
53041412040010144031
641431435000240005
72356666631025536
oct260172714225405
946783828761405
1012111123131141
11394a3312a8a71
121437272770005
1369b0c67a8b18
142dc27800268d
1516008891cb2b
hexb03d7312b05

12111123131141 has 16 divisors (see below), whose sum is σ = 12916373333808. Its totient is φ = 11338900992000.

The previous prime is 12111123131119. The next prime is 12111123131171. The reversal of 12111123131141 is 14113132111121.

It can be written as a sum of positive squares in 8 ways, for example, as 724109094916 + 11387014036225 = 850946^2 + 3374465^2 .

It is a cyclic number.

It is not a de Polignac number, because 12111123131141 - 226 = 12111056022277 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12111123131111) 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, 54571460 + ... + 54792941.

It is an arithmetic number, because the mean of its divisors is an integer number (807273333363).

Almost surely, 212111123131141 is an apocalyptic number.

It is an amenable number.

12111123131141 is a deficient number, since it is larger than the sum of its proper divisors (805250202667).

12111123131141 is a wasteful number, since it uses less digits than its factorization.

12111123131141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109364552.

The product of its digits is 144, while the sum is 23.

Adding to 12111123131141 its reverse (14113132111121), we get a palindrome (26224255242262).

The spelling of 12111123131141 in words is "twelve trillion, one hundred eleven billion, one hundred twenty-three million, one hundred thirty-one thousand, one hundred forty-one".

Divisors: 1 37 41 73 1517 2701 2993 110741 109364401 4046482837 4483940441 7983601273 165905796317 295393247101 327327652193 12111123131141