Search a number
-
+
11131132012 = 22711134759149
BaseRepresentation
bin10100101110111011…
…11001100001101100
31001201202012002112121
422113131321201230
5140244032211022
65040310442324
7542561026630
oct122735714154
931652162477
1011131132012
1147a2263260
1221a79633a4
13108514b460
14778486dc0
154523432c7
hex29777986c

11131132012 has 96 divisors (see below), whose sum is σ = 26711193600. Its totient is φ = 3917963520.

The previous prime is 11131131983. The next prime is 11131132039. The reversal of 11131132012 is 21023113111.

It is a happy number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 158614 + ... + 217762.

It is an arithmetic number, because the mean of its divisors is an integer number (278241600).

Almost surely, 211131132012 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 11131132012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13355596800).

11131132012 is an abundant number, since it is smaller than the sum of its proper divisors (15580061588).

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

11131132012 is a wasteful number, since it uses less digits than its factorization.

11131132012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59231 (or 59229 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 11131132012 its reverse (21023113111), we get a palindrome (32154245123).

The spelling of 11131132012 in words is "eleven billion, one hundred thirty-one million, one hundred thirty-two thousand, twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 47 52 77 91 94 143 154 182 188 286 308 329 364 517 572 611 658 1001 1034 1222 1316 2002 2068 2444 3619 4004 4277 6721 7238 8554 13442 14476 17108 26884 47047 59149 94094 118298 188188 236596 414043 650639 768937 828086 1301278 1537874 1656172 2602556 2780003 3075748 4554473 5382559 5560006 8458307 9108946 10765118 11120012 16916614 18217892 19460021 21530236 30580033 33833228 36140039 38920042 59208149 61160066 72280078 77840084 118416298 122320132 144560156 214060231 236832596 252980273 397540429 428120462 505960546 795080858 856240924 1011921092 1590161716 2782783003 5565566006 11131132012