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11324311342311 = 3113140127605257
BaseRepresentation
bin1010010011001010010110…
…0011100000110011100111
31111002121000201122212010010
42210302211203200303213
52441014142200423221
640030152233101303
72246103664126002
oct244624543406347
944077021585103
1011324311342311
11367668258a550
12132a888b57833
13641b54bbb5c6
142b21573da539
15149888358c76
hexa4ca58e0ce7

11324311342311 has 32 divisors (see below), whose sum is σ = 17045473867776. Its totient is φ = 6625261440000.

The previous prime is 11324311342301. The next prime is 11324311342319.

It is a happy number.

11324311342311 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11324311342311 - 214 = 11324311325927 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11324311342319) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13392406 + ... + 14212851.

It is an arithmetic number, because the mean of its divisors is an integer number (532671058368).

Almost surely, 211324311342311 is an apocalyptic number.

11324311342311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11324311342311 is a deficient number, since it is larger than the sum of its proper divisors (5721162525465).

11324311342311 is a wasteful number, since it uses less digits than its factorization.

11324311342311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27605703.

The product of its digits is 5184, while the sum is 30.

It can be divided in two parts, 1132431 and 1342311, that added together give a palindrome (2474742).

The spelling of 11324311342311 in words is "eleven trillion, three hundred twenty-four billion, three hundred eleven million, three hundred forty-two thousand, three hundred eleven".

Divisors: 1 3 11 31 33 93 341 401 1023 1203 4411 12431 13233 37293 136741 410223 27605257 82815771 303657827 855762967 910973481 2567288901 9413392637 11069708057 28240177911 33209124171 121766788627 343160949767 365300365881 1029482849301 3774770447437 11324311342311