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11131116112 = 2417371318443
BaseRepresentation
bin10100101110111011…
…10101101001010000
31001201202011021201201
422113131311221100
5140244031203422
65040310240544
7542560632364
oct122735655120
931652137651
1011131116112
1147a2252316
1221a7956154
13108514414c
147784812a4
1545233d727
hex297775a50

11131116112 has 80 divisors (see below), whose sum is σ = 23634148032. Its totient is φ = 5057095680.

The previous prime is 11131116109. The next prime is 11131116119. The reversal of 11131116112 is 21161113111.

It is a self number, because there is not a number n which added to its sum of digits gives 11131116112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11131116119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1314163 + ... + 1322605.

Almost surely, 211131116112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11131116112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11817074016).

11131116112 is an abundant number, since it is smaller than the sum of its proper divisors (12503031920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11131116112 is a wasteful number, since it uses less digits than its factorization.

11131116112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8636 (or 8630 counting only the distinct ones).

The product of its digits is 36, while the sum is 19.

Adding to 11131116112 its reverse (21161113111), we get a palindrome (32292229223).

The spelling of 11131116112 in words is "eleven billion, one hundred thirty-one million, one hundred sixteen thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 34 37 68 74 131 136 148 262 272 296 524 592 629 1048 1258 2096 2227 2516 4454 4847 5032 8443 8908 9694 10064 16886 17816 19388 33772 35632 38776 67544 77552 82399 135088 143531 164798 287062 312391 329596 574124 624782 659192 1106033 1148248 1249564 1318384 2212066 2296496 2499128 4424132 4998256 5310647 8848264 10621294 17696528 18802561 21242588 37605122 40923221 42485176 75210244 81846442 84970352 150420488 163692884 300840976 327385768 654771536 695694757 1391389514 2782779028 5565558056 11131116112