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11124033232 = 24131725712241
BaseRepresentation
bin10100101110000101…
…10100011011010000
31001201020211102211211
422113002310123100
5140240223030412
65035454345504
7542443502524
oct122702643320
931636742754
1011124033232
1147992548a4
1221a54bb294
1310838342b0
14777559d84
154518deca7
hex2970b46d0

11124033232 has 80 divisors (see below), whose sum is σ = 24673702032. Its totient is φ = 4812963840.

The previous prime is 11124033097. The next prime is 11124033233. The reversal of 11124033232 is 23233042111.

It can be written as a sum of positive squares in 8 ways, for example, as 265559616 + 10858473616 = 16296^2 + 104204^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11124033233) 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, 902632 + ... + 914872.

Almost surely, 211124033232 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 11124033232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12336851016).

11124033232 is an abundant number, since it is smaller than the sum of its proper divisors (13549668800).

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

11124033232 is a wasteful number, since it uses less digits than its factorization.

11124033232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12536 (or 12530 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 11124033232 its reverse (23233042111), we get a palindrome (34357075343).

The spelling of 11124033232 in words is "eleven billion, one hundred twenty-four million, thirty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 208 221 257 272 442 514 884 1028 1768 2056 3341 3536 4112 4369 6682 8738 12241 13364 17476 24482 26728 34952 48964 53456 56797 69904 97928 113594 159133 195856 208097 227188 318266 416194 454376 636532 832388 908752 1273064 1664776 2546128 2705261 3145937 3329552 5410522 6291874 10821044 12583748 21642088 25167496 40897181 43284176 50334992 53480929 81794362 106961858 163588724 213923716 327177448 427847432 654354896 695252077 855694864 1390504154 2781008308 5562016616 11124033232