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11231322232032 = 2532712923431099
BaseRepresentation
bin1010001101101111111011…
…1110001101010011100000
31110202201000011020121112200
42203123332332031103200
52433003221442411112
635515333113453200
72236302430543140
oct243337676152340
943681004217480
1011231322232032
1136401a4666691
121314857111200
13636155a28626
142ab85552c920
15147244889cdc
hexa36fef8d4e0

11231322232032 has 144 divisors (see below), whose sum is σ = 36504706492800. Its totient is φ = 3208693453056.

The previous prime is 11231322232001. The next prime is 11231322232049. The reversal of 11231322232032 is 23023222313211.

11231322232032 is a `hidden beast` number, since 1 + 1 + 2 + 313 + 2 + 22 + 320 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×112313222320322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11231322231987 and 11231322232005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25837219 + ... + 26268317.

It is an arithmetic number, because the mean of its divisors is an integer number (253504906200).

Almost surely, 211231322232032 is an apocalyptic number.

11231322232032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11231322232032 is an abundant number, since it is smaller than the sum of its proper divisors (25273384260768).

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

11231322232032 is a wasteful number, since it uses less digits than its factorization.

11231322232032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444045 (or 444034 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 11231322232032 its reverse (23023222313211), we get a palindrome (34254544545243).

The spelling of 11231322232032 in words is "eleven trillion, two hundred thirty-one billion, three hundred twenty-two million, two hundred thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 12923 25846 38769 51692 77538 90461 103384 116307 155076 180922 206768 232614 271383 310152 361844 413536 431099 465228 542766 620304 723688 814149 862198 930456 1085532 1240608 1293297 1447376 1628298 1724396 1860912 2171064 2586594 2894752 3017693 3256596 3448792 3721824 3879891 4342128 5173188 6035386 6513192 6897584 7759782 8684256 9053079 10346376 12070772 13026384 13795168 15519564 18106158 20692752 24141544 26052768 27159237 31039128 36212316 41385504 48283088 54318474 62078256 72424632 96566176 108636948 124156512 144849264 217273896 289698528 434547792 869095584 5571092377 11142184754 16713277131 22284369508 33426554262 38997646639 44568739016 50139831393 66853108524 77995293278 89137478032 100279662786 116992939917 133706217048 155990586556 178274956064 200559325572 233985879834 267412434096 311981173112 350978819751 401118651144 467971759668 534824868192 623962346224 701957639502 802237302288 935943519336 1247924692448 1403915279004 1604474604576 1871887038672 2807830558008 3743774077344 5615661116016 11231322232032