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1311122122112 = 27112513709939
BaseRepresentation
bin10011000101000100111…
…101111110010110000000
311122100020100120210111202
4103011010331332112000
5132440134230401422
62442153213200332
7163503554104355
oct23050475762600
94570210523452
101311122122112
11466053291150
121921301900a8
139683b40c89a
144765c76862c
152418a588b92
hex13144f7e580

1311122122112 has 64 divisors (see below), whose sum is σ = 2860808932800. Its totient is φ = 593590080000.

The previous prime is 1311122122109. The next prime is 1311122122129. The reversal of 1311122122112 is 2112212211131.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1501562 + ... + 2208377.

It is an arithmetic number, because the mean of its divisors is an integer number (44700139575).

Almost surely, 21311122122112 is an apocalyptic number.

It is an amenable number.

1311122122112 is an abundant number, since it is smaller than the sum of its proper divisors (1549686810688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1311122122112 is a wasteful number, since it uses less digits than its factorization.

1311122122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3710215 (or 3710203 counting only the distinct ones).

The product of its digits is 96, while the sum is 20.

Adding to 1311122122112 its reverse (2112212211131), we get a palindrome (3423334333243).

The spelling of 1311122122112 in words is "one trillion, three hundred eleven billion, one hundred twenty-two million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 251 352 502 704 1004 1408 2008 2761 4016 5522 8032 11044 16064 22088 32128 44176 88352 176704 353408 3709939 7419878 14839756 29679512 40809329 59359024 81618658 118718048 163237316 237436096 326474632 474872192 652949264 931194689 1305898528 1862389378 2611797056 3724778756 5223594112 7449557512 10243141579 14899115024 20486283158 29798230048 40972566316 59596460096 81945132632 119192920192 163890265264 327780530528 655561061056 1311122122112