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12131122311 = 3271117779851
BaseRepresentation
bin10110100110001001…
…00011110010000111
31011022102211212100100
423103010203302013
5144321031403221
65323432015143
7606422560350
oct132304436207
934272755310
1012131122311
11516577a820
1224268314b3
1311b43840a9
148311d0d27
154b0021926
hex2d3123c87

12131122311 has 48 divisors (see below), whose sum is σ = 21861036288. Its totient is φ = 6297696000.

The previous prime is 12131122303. The next prime is 12131122313. The reversal of 12131122311 is 11322113121.

12131122311 is a `hidden beast` number, since 1 + 21 + 311 + 22 + 311 = 666.

It is not a de Polignac number, because 12131122311 - 23 = 12131122303 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12131122313) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1226536 + ... + 1236386.

It is an arithmetic number, because the mean of its divisors is an integer number (455438256).

Almost surely, 212131122311 is an apocalyptic number.

12131122311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12131122311 is a deficient number, since it is larger than the sum of its proper divisors (9729913977).

12131122311 is a wasteful number, since it uses less digits than its factorization.

12131122311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11652 (or 11649 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

Adding to 12131122311 its reverse (11322113121), we get a palindrome (23453235432).

The spelling of 12131122311 in words is "twelve billion, one hundred thirty-one million, one hundred twenty-two thousand, three hundred eleven".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 693 1777 5331 9851 12439 15993 19547 29553 37317 58641 68957 88659 108361 111951 136829 175923 206871 325083 410487 620613 758527 975249 1231461 2275581 6826743 17505227 52515681 122536589 157547043 192557497 367609767 577672491 1102829301 1347902479 1733017473 4043707437 12131122311