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11111231313 = 3271337616011
BaseRepresentation
bin10100101100100011…
…11110111101010001
31001200100202000220200
422112101332331101
5140223433400223
65034320125413
7542226623250
oct122621767521
931610660820
1011111231313
1147920005a6
1221a1166869
131080ca12b0
14775986797
15450711a43
hex29647ef51

11111231313 has 96 divisors (see below), whose sum is σ = 20623180032. Its totient is φ = 5608051200.

The previous prime is 11111231249. The next prime is 11111231317. The reversal of 11111231313 is 31313211111.

11111231313 is a `hidden beast` number, since 11 + 111 + 231 + 313 = 666.

It is not a de Polignac number, because 11111231313 - 26 = 11111231249 is a prime.

It is a super-2 number, since 2×111112313132 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11111231317) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1845478 + ... + 1851488.

It is an arithmetic number, because the mean of its divisors is an integer number (214824792).

Almost surely, 211111231313 is an apocalyptic number.

11111231313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11111231313 is a deficient number, since it is larger than the sum of its proper divisors (9511948719).

11111231313 is a wasteful number, since it uses less digits than its factorization.

11111231313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6135 (or 6132 counting only the distinct ones).

The product of its digits is 54, while the sum is 18.

Adding to 11111231313 its reverse (31313211111), we get a palindrome (42424442424).

The spelling of 11111231313 in words is "eleven billion, one hundred eleven million, two hundred thirty-one thousand, three hundred thirteen".

Divisors: 1 3 7 9 13 21 37 39 61 63 91 111 117 183 259 273 333 427 481 549 777 793 819 1281 1443 2257 2331 2379 3367 3843 4329 5551 6011 6771 7137 10101 15799 16653 18033 20313 29341 30303 42077 47397 49959 54099 78143 88023 126231 142191 205387 222407 234429 264069 366671 378693 547001 616161 667221 703287 1100013 1556849 1641003 1848483 2001663 2566697 2891291 3300039 4670547 4766723 4923009 7700091 8673873 13566827 14011641 14300169 20239037 23100273 26021619 33367061 40700481 42900507 60717111 94967789 100101183 122101443 176368751 182151333 284903367 300303549 529106253 854710101 1234581257 1587318759 3703743771 11111231313