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11311312311 = 341353202679
BaseRepresentation
bin10101000100011010…
…01110110110110111
31002012022020012110000
422202031032312313
5141131143443221
65110224402343
7550206365625
oct124215166667
932168205400
1011311312311
114884a393a2
1222381763b3
1310b3586410
1479438a515
15463084e26
hex2a234edb7

11311312311 has 40 divisors (see below), whose sum is σ = 18540355680. Its totient is φ = 6829437888.

The previous prime is 11311312307. The next prime is 11311312343. The reversal of 11311312311 is 11321311311.

11311312311 is a `hidden beast` number, since 11 + 31 + 1 + 312 + 311 = 666.

It is not a de Polignac number, because 11311312311 - 22 = 11311312307 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11311312391) 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 39 ways as a sum of consecutive naturals, for example, 45531 + ... + 157148.

It is an arithmetic number, because the mean of its divisors is an integer number (463508892).

Almost surely, 211311312311 is an apocalyptic number.

11311312311 is a deficient number, since it is larger than the sum of its proper divisors (7229043369).

11311312311 is a wasteful number, since it uses less digits than its factorization.

11311312311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202757 (or 202748 counting only the distinct ones).

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

Adding to 11311312311 its reverse (11321311311), we get a palindrome (22632623622).

The spelling of 11311312311 in words is "eleven billion, three hundred eleven million, three hundred twelve thousand, three hundred eleven".

Divisors: 1 3 9 13 27 39 53 81 117 159 351 477 689 1053 1431 2067 4293 6201 18603 55809 202679 608037 1824111 2634827 5472333 7904481 10741987 16416999 23713443 32225961 71140329 96677883 139645831 213420987 290033649 418937493 870100947 1256812479 3770437437 11311312311