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11324344342311 = 32711133721019091
BaseRepresentation
bin1010010011001010011110…
…0001011001011100100111
31111002121010000202102121100
42210302213201121130213
52441014224122423221
640030155412251143
72246104544460630
oct244624741313447
944077100672540
1011324344342311
11367669a179980
12132a898010ab3
13641b5b9a3c30
142b215b94a887
1514988b1c6926
hexa4ca7859727

11324344342311 has 288 divisors, whose sum is σ = 22797977319936. Its totient is φ = 5230604160000.

The previous prime is 11324344342291. The next prime is 11324344342327.

11324344342311 is a `hidden beast` number, since 1 + 1 + 3 + 243 + 44 + 342 + 31 + 1 = 666.

11324344342311 is nontrivially palindromic in base 10.

11324344342311 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11324344342311 - 210 = 11324344341287 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11324344342331) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1245660876 + ... + 1245669966.

It is an arithmetic number, because the mean of its divisors is an integer number (79159643472).

Almost surely, 211324344342311 is an apocalyptic number.

11324344342311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11324344342311 is an abundant number, since it is smaller than the sum of its proper divisors (11473632977625).

11324344342311 is a wasteful number, since it uses less digits than its factorization.

11324344342311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9303 (or 9263 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

It can be divided in two parts, 1132434 and 4342311, that added together give a palindrome (5474745).

The spelling of 11324344342311 in words is "eleven trillion, three hundred twenty-four billion, three hundred forty-four million, three hundred forty-two thousand, three hundred eleven".