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11232232133100 = 223521121317159671
BaseRepresentation
bin1010001101110011010100…
…1101001101000111101100
31110202210100120101101011020
42203130311031031013230
52433012102411224400
635520003300054140
72236334116560006
oct243346515150754
943683316341136
1011232232133100
113640621240840
121314a6b994350
1363626c3aa824
142ab900305376
151472996c02a0
hexa373534d1ec

11232232133100 has 144 divisors (see below), whose sum is σ = 35454894241536. Its totient is φ = 2722820576000.

The previous prime is 11232232133081. The next prime is 11232232133123. The reversal of 11232232133100 is 133123223211.

It is a super-2 number, since 2×112322321331002 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70266265 + ... + 70425935.

It is an arithmetic number, because the mean of its divisors is an integer number (246214543344).

Almost surely, 211232232133100 is an apocalyptic number.

11232232133100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11232232133100 is an abundant number, since it is smaller than the sum of its proper divisors (24222662108436).

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

11232232133100 is a wasteful number, since it uses less digits than its factorization.

11232232133100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181016 (or 181009 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 11232232133100 its reverse (133123223211), we get a palindrome (11365355356311).

The spelling of 11232232133100 in words is "eleven trillion, two hundred thirty-two billion, two hundred thirty-two million, one hundred thirty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 21317 42634 63951 85268 106585 127902 159671 213170 234487 255804 319342 319755 426340 468974 479013 532925 638684 639510 703461 798355 937948 958026 1065850 1172435 1279020 1406922 1596710 1598775 1756381 1916052 2131700 2344870 2395065 2813844 3193420 3197550 3512762 3517305 3991775 4689740 4790130 5269143 5862175 6395100 7025524 7034610 7983550 8781905 9580260 10538286 11724350 11975325 14069220 15967100 17563810 17586525 21076572 23448700 23950650 26345715 35127620 35173050 43909525 47901300 52691430 70346100 87819050 105382860 131728575 175638100 263457150 526914300 3403706707 6807413414 10211120121 13614826828 17018533535 20422240242 34037067070 37440773777 40844480484 51055600605 68074134140 74881547554 85092667675 102111201210 112322321331 149763095108 170185335350 187203868885 204222402420 224644642662 255278003025 340370670700 374407737770 449289285324 510556006050 561611606655 748815475540 936019344425 1021112012100 1123223213310 1872038688850 2246446426620 2808058033275 3744077377700 5616116066550 11232232133100