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11234231224420 = 22541193388918253
BaseRepresentation
bin1010001101111010110001…
…0111001000100001100100
31110202222111220000201220111
42203132230113020201210
52433030201143140140
635520533511342404
72236434502555411
oct243365427104144
943688456021814
1011234231224420
113641457717726
121315329381a04
136364ca5c73b9
142aba4da05108
15147364e537ea
hexa37ac5c8864

11234231224420 has 96 divisors (see below), whose sum is σ = 24300094260960. Its totient is φ = 4360014397440.

The previous prime is 11234231224417. The next prime is 11234231224493. The reversal of 11234231224420 is 2442213243211.

It can be written as a sum of positive squares in 16 ways, for example, as 9197742397284 + 2036488827136 = 3032778^2 + 1427056^2 .

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, 615464014 + ... + 615482266.

It is an arithmetic number, because the mean of its divisors is an integer number (253125981885).

Almost surely, 211234231224420 is an apocalyptic number.

11234231224420 is a gapful number since it is divisible by the number (10) 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 11234231224420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12150047130480).

11234231224420 is an abundant number, since it is smaller than the sum of its proper divisors (13065863036540).

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

11234231224420 is a wasteful number, since it uses less digits than its factorization.

11234231224420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22385 (or 22383 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 11234231224420 its reverse (2442213243211), we get a palindrome (13676444467631).

The spelling of 11234231224420 in words is "eleven trillion, two hundred thirty-four billion, two hundred thirty-one million, two hundred twenty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 164 193 205 386 410 772 820 965 1930 3860 3889 7778 7913 15556 15826 18253 19445 31652 36506 38890 39565 73012 77780 79130 91265 158260 159449 182530 318898 365060 637796 748373 750577 797245 1496746 1501154 1594490 2993492 3002308 3188980 3522829 3741865 3752885 7045658 7483730 7505770 14091316 14967460 15011540 17614145 30773657 35228290 61547314 70456580 70985917 123094628 141971834 144435989 153868285 283943668 288871978 307736570 354929585 577743956 615473140 709859170 722179945 1419718340 1444359890 2888719780 2910422597 5820845194 11641690388 13700281981 14552112985 27400563962 29104225970 54801127924 58208451940 68501409905 137002819810 274005639620 561711561221 1123423122442 2246846244884 2808557806105 5617115612210 11234231224420