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1131352041526 = 272311514675281
BaseRepresentation
bin10000011101101001110…
…101100010100000110110
311000011012212110111101221
4100131221311202200312
5122014002110312101
62223422544340554
7144510646453300
oct20355165424066
94004185414357
101131352041526
113a6892807913
1216331b61475a
13828bc2c9a35
143ca872dc970
151e668149aa1
hex10769d62836

1131352041526 has 96 divisors (see below), whose sum is σ = 2056051206144. Its totient is φ = 465030720000.

The previous prime is 1131352041517. The next prime is 1131352041571. The reversal of 1131352041526 is 6251402531311.

It is a junction number, because it is equal to n+sod(n) for n = 1131352041491 and 1131352041500.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 214228006 + ... + 214233286.

It is an arithmetic number, because the mean of its divisors is an integer number (21417200064).

Almost surely, 21131352041526 is an apocalyptic number.

1131352041526 is a deficient number, since it is larger than the sum of its proper divisors (924699164618).

1131352041526 is a wasteful number, since it uses less digits than its factorization.

1131352041526 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5946 (or 5939 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

Adding to 1131352041526 its reverse (6251402531311), we get a palindrome (7382754572837).

The spelling of 1131352041526 in words is "one trillion, one hundred thirty-one billion, three hundred fifty-two million, forty-one thousand, five hundred twenty-six".

Divisors: 1 2 7 14 31 49 62 98 151 217 302 434 467 934 1057 1519 2114 3038 3269 4681 5281 6538 7399 9362 10562 14477 14798 22883 28954 32767 36967 45766 65534 70517 73934 101339 141034 163711 202678 229369 258769 327422 458738 493619 517538 709373 797431 987238 1145977 1418746 1594862 2186027 2291954 2466227 3455333 4372054 4932454 5582017 6910666 8021839 11164034 15302189 16043678 17263589 24720361 30604378 34527178 39074119 49440722 76453037 78148238 107115323 120845123 152906074 173042527 214230646 241690246 346085054 372400277 535171259 744800554 1070342518 1211297689 2422595378 2606801939 3746198813 5213603878 7492397626 11544408587 18247613573 23088817174 36495227146 80810860109 161621720218 565676020763 1131352041526