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11130231220 = 2253771349607
BaseRepresentation
bin10100101110110100…
…11101100110110100
31001201200111022212221
422113122131212310
5140243314344340
65040235252124
7542550255463
oct122732354664
931650438787
1011130231220
1147a17a84a9
1221a75aa044
131084bc4444
147782d09da
1545221644a
hex29769d9b4

11130231220 has 96 divisors (see below), whose sum is σ = 24453273600. Its totient is φ = 4251502080.

The previous prime is 11130231157. The next prime is 11130231223. The reversal of 11130231220 is 2213203111.

It is a junction number, because it is equal to n+sod(n) for n = 11130231194 and 11130231203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11130231223) 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 31 ways as a sum of consecutive naturals, for example, 18336157 + ... + 18336763.

It is an arithmetic number, because the mean of its divisors is an integer number (254721600).

Almost surely, 211130231220 is an apocalyptic number.

11130231220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11130231220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12226636800).

11130231220 is an abundant number, since it is smaller than the sum of its proper divisors (13323042380).

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

11130231220 is a wasteful number, since it uses less digits than its factorization.

11130231220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 11130231220 its reverse (2213203111), we get a palindrome (13343434331).

The spelling of 11130231220 in words is "eleven billion, one hundred thirty million, two hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 37 71 74 142 148 185 284 349 355 370 607 698 710 740 1214 1396 1420 1745 2428 2627 3035 3490 5254 6070 6980 10508 12140 12913 13135 22459 24779 25826 26270 43097 44918 49558 51652 52540 64565 86194 89836 99116 112295 123895 129130 172388 211843 215485 224590 247790 258260 423686 430970 449180 495580 847372 861940 916823 1059215 1594589 1833646 2118430 3189178 3667292 4236860 4584115 6378356 7838191 7972945 9168230 15040853 15676382 15945890 18336460 30081706 31352764 31891780 39190955 60163412 75204265 78381910 150408530 156763820 300817060 556511561 1113023122 2226046244 2782557805 5565115610 11130231220