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11513535343011 = 32131719793856499
BaseRepresentation
bin1010011110001011010000…
…1011110010100110100011
31111202200110002000001120100
42213202310023302212203
53002114210021434021
640253124540113443
72265553065445302
oct247426413624643
944680402001510
1011513535343011
1137399545a89a9
12135b497835883
1365694c821820
142bb38827a439
1514e760739626
hexa78b42f29a3

11513535343011 has 96 divisors (see below), whose sum is σ = 20214230400000. Its totient is φ = 6237530717184.

The previous prime is 11513535343007. The next prime is 11513535343067. The reversal of 11513535343011 is 11034353531511.

11513535343011 is a `hidden beast` number, since 1 + 1 + 51 + 3 + 535 + 34 + 30 + 11 = 666.

11513535343011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11513535343011 - 22 = 11513535343007 is a prime.

It is a super-2 number, since 2×115135353430112 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11513535343511) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1057240 + ... + 4913738.

It is an arithmetic number, because the mean of its divisors is an integer number (210564900000).

Almost surely, 211513535343011 is an apocalyptic number.

11513535343011 is a deficient number, since it is larger than the sum of its proper divisors (8700695056989).

11513535343011 is a wasteful number, since it uses less digits than its factorization.

11513535343011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3856633 (or 3856630 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

Adding to 11513535343011 its reverse (11034353531511), we get a palindrome (22547888874522).

The spelling of 11513535343011 in words is "eleven trillion, five hundred thirteen billion, five hundred thirty-five million, three hundred forty-three thousand, eleven".

Divisors: 1 3 9 13 17 19 39 51 57 79 117 153 171 221 237 247 323 663 711 741 969 1027 1343 1501 1989 2223 2907 3081 4029 4199 4503 9243 12087 12597 13509 17459 19513 25517 37791 52377 58539 76551 157131 175617 229653 331721 995163 2985489 3856499 11569497 34708491 50134487 65560483 73273481 150403461 196681449 219820443 304663421 451210383 590044347 659461329 852286279 913990263 952555253 1245649177 2556858837 2741970789 2857665759 3736947531 3960624473 5179278157 5788604999 7670576511 8572997277 11210842593 11881873419 15537834471 16193439301 17365814997 35645620257 46613503413 48580317903 52097444991 67330616041 75251864987 98406284983 145740953709 201991848123 225755594961 295218854949 605975544369 677266784883 885656564847 1279281704779 3837845114337 11513535343011