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11043552135 = 357311832351
BaseRepresentation
bin10100100100011111…
…10011101110000111
31001111122101120112110
422102033303232013
5140104122132020
65023501352103
7540445434000
oct122217635607
931448346473
1011043552135
1147578851a0
122182568633
13106cc65c45
1476a9aa1a7
154497e38e0
hex2923f3b87

11043552135 has 128 divisors (see below), whose sum is σ = 22759833600. Its totient is φ = 4532304000.

The previous prime is 11043552119. The next prime is 11043552137. The reversal of 11043552135 is 53125534011.

It is not a de Polignac number, because 11043552135 - 24 = 11043552119 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11043552137) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 4696210 + ... + 4698560.

It is an arithmetic number, because the mean of its divisors is an integer number (177811200).

Almost surely, 211043552135 is an apocalyptic number.

11043552135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11043552135 is an abundant number, since it is smaller than the sum of its proper divisors (11716281465).

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

11043552135 is a wasteful number, since it uses less digits than its factorization.

11043552135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2474 (or 2460 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The spelling of 11043552135 in words is "eleven billion, forty-three million, five hundred fifty-two thousand, one hundred thirty-five".

Divisors: 1 3 5 7 11 15 21 33 35 49 55 77 83 105 147 165 231 245 249 343 385 415 539 581 735 913 1029 1155 1245 1617 1715 1743 2351 2695 2739 2905 3773 4067 4565 5145 6391 7053 8085 8715 11319 11755 12201 13695 16457 18865 19173 20335 25861 28469 31955 35265 44737 49371 56595 61005 77583 82285 85407 95865 115199 129305 134211 142345 181027 195133 223685 246855 313159 345597 387915 427035 543081 575995 585399 671055 806393 905135 939477 975665 1267189 1365931 1565795 1727985 2146463 2419179 2715405 2926995 3801567 4031965 4097793 4697385 6335945 6439389 6829655 8870323 9561517 10732315 12095895 15025241 19007835 20488965 26610969 28684551 32196945 44351615 45075723 47807585 66930619 75126205 105176687 133054845 143422755 200791857 225378615 315530061 334653095 525883435 736236809 1003959285 1577650305 2208710427 3681184045 11043552135