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11034443112 = 23371110159119
BaseRepresentation
bin10100100011011010…
…00011110101101000
31001111000020210022020
422101231003311220
5140044304134422
65022534224440
7540305135040
oct122155036550
931430223266
1011034443112
114752723480
12217b4b5120
13106b0c6aa4
147696b8720
15448ae495c
hex291b43d68

11034443112 has 128 divisors (see below), whose sum is σ = 34734182400. Its totient is φ = 2837664000.

The previous prime is 11034443093. The next prime is 11034443143. The reversal of 11034443112 is 21134443011.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157089 + ... + 216207.

It is an arithmetic number, because the mean of its divisors is an integer number (271360800).

Almost surely, 211034443112 is an apocalyptic number.

11034443112 is a gapful number since it is divisible by the number (12) 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 11034443112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17367091200).

11034443112 is an abundant number, since it is smaller than the sum of its proper divisors (23699739288).

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

11034443112 is a wasteful number, since it uses less digits than its factorization.

11034443112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59247 (or 59243 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 11034443112 its reverse (21134443011), we get a palindrome (32168886123).

The spelling of 11034443112 in words is "eleven billion, thirty-four million, four hundred forty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 101 132 154 168 202 231 264 303 308 404 462 606 616 707 808 924 1111 1212 1414 1848 2121 2222 2424 2828 3333 4242 4444 5656 6666 7777 8484 8888 13332 15554 16968 23331 26664 31108 46662 59119 62216 93324 118238 177357 186648 236476 354714 413833 472952 650309 709428 827666 1241499 1300618 1418856 1655332 1950927 2482998 2601236 3310664 3901854 4552163 4965996 5202472 5971019 7803708 9104326 9931992 11942038 13656489 15607416 17913057 18208652 23884076 27312978 35826114 36417304 41797133 47768152 54625956 65681209 71652228 83594266 109251912 125391399 131362418 143304456 167188532 197043627 250782798 262724836 334377064 394087254 459768463 501565596 525449672 788174508 919536926 1003131192 1379305389 1576349016 1839073852 2758610778 3678147704 5517221556 11034443112