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11131331211 = 32711131916469
BaseRepresentation
bin10100101110111101…
…01010001010001011
31001201202120012210100
422113132222022023
5140244110044321
65040315020443
7542562516450
oct122736521213
931652505710
1011131331211
1147a2389990
1221a7a3a723
1310851bb020
147784d9827
15452382326
hex2977aa28b

11131331211 has 96 divisors (see below), whose sum is σ = 21704417280. Its totient is φ = 5308934400.

The previous prime is 11131331207. The next prime is 11131331219. The reversal of 11131331211 is 11213313111.

11131331211 is a `hidden beast` number, since 111 + 313 + 31 + 211 = 666.

It is not a de Polignac number, because 11131331211 - 22 = 11131331207 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11131331219) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1717485 + ... + 1723953.

It is an arithmetic number, because the mean of its divisors is an integer number (226087680).

Almost surely, 211131331211 is an apocalyptic number.

11131331211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11131331211 is a deficient number, since it is larger than the sum of its proper divisors (10573086069).

11131331211 is a wasteful number, since it uses less digits than its factorization.

11131331211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6697 (or 6694 counting only the distinct ones).

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

Adding to 11131331211 its reverse (11213313111), we get a palindrome (22344644322).

The spelling of 11131331211 in words is "eleven billion, one hundred thirty-one million, three hundred thirty-one thousand, two hundred eleven".

Divisors: 1 3 7 9 11 13 21 33 39 63 77 91 99 117 143 191 231 273 429 573 693 819 1001 1287 1337 1719 2101 2483 3003 4011 6303 6469 7449 9009 12033 14707 17381 18909 19407 22347 27313 44121 45283 52143 58221 71159 81939 84097 132363 135849 156429 191191 213477 245817 252291 407547 498113 573573 588679 640431 756873 925067 1235579 1494339 1720719 1766037 2775201 3706737 4483017 5298111 6475469 8325603 8649053 11120211 13591369 16062527 19426407 25947159 40774107 48187581 58279221 77841477 95139583 112437689 122322321 144562743 176687797 285418749 337313067 530063391 856256247 1011939201 1236814579 1590190173 3710443737 11131331211