Search a number
-
+
111831260928 = 2832331120357
BaseRepresentation
bin110100000100110101…
…0011001111100000000
3101200122201020200002220
41220021222121330000
53313012300322203
6123212524011040
711036166014412
oct1501152317400
9350581220086
10111831260928
11434779165a2
1219810090a80
13a712a13b5a
1455ac4b69b2
152d97c78653
hex1a09a99f00

111831260928 has 144 divisors (see below), whose sum is σ = 311588798976. Its totient is φ = 35539947520.

The previous prime is 111831260917. The next prime is 111831260963. The reversal of 111831260928 is 829062138111.

It is a self number, because there is not a number n which added to its sum of digits gives 111831260928.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5483326 + ... + 5503682.

It is an arithmetic number, because the mean of its divisors is an integer number (2163811104).

Almost surely, 2111831260928 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 111831260928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155794399488).

111831260928 is an abundant number, since it is smaller than the sum of its proper divisors (199757538048).

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

111831260928 is a wasteful number, since it uses less digits than its factorization.

111831260928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20710 (or 20696 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 42.

The spelling of 111831260928 in words is "one hundred eleven billion, eight hundred thirty-one million, two hundred sixty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 276 311 368 384 552 622 736 768 933 1104 1244 1472 1866 2208 2488 2944 3732 4416 4976 5888 7153 7464 8832 9952 14306 14928 17664 19904 20357 21459 28612 29856 39808 40714 42918 57224 59712 61071 79616 81428 85836 114448 119424 122142 162856 171672 228896 238848 244284 325712 343344 457792 468211 488568 651424 686688 915584 936422 977136 1302848 1373376 1404633 1831168 1872844 1954272 2605696 2746752 2809266 3745688 3908544 5211392 5493504 5618532 6331027 7491376 7817088 11237064 12662054 14982752 15634176 18993081 22474128 25324108 29965504 37986162 44948256 50648216 59931008 75972324 89896512 101296432 119862016 145613621 151944648 179793024 202592864 291227242 303889296 359586048 405185728 436840863 582454484 607778592 810371456 873681726 1164908968 1215557184 1620742912 1747363452 2329817936 2431114368 3494726904 4659635872 4862228736 6989453808 9319271744 13978907616 18638543488 27957815232 37277086976 55915630464 111831260928