Search a number
-
+
11205520425135 = 3451991249111317
BaseRepresentation
bin1010001100001111110100…
…0100001000000010101111
31110200020101222121000110000
42203003331010020002233
52432042401212101020
635455424531315343
72234400146031261
oct243037504100257
943606358530400
1011205520425135
113630264175233
12130b85614bb53
136338a335897a
142aa4c88a9b31
151467345d5090
hexa30fd1080af

11205520425135 has 80 divisors (see below), whose sum is σ = 20204217000000. Its totient is φ = 5941431834624.

The previous prime is 11205520425109. The next prime is 11205520425161. The reversal of 11205520425135 is 53152402550211.

11205520425135 is a `hidden beast` number, since 1 + 1 + 20 + 552 + 0 + 4 + 2 + 51 + 35 = 666.

It is an interprime number because it is at equal distance from previous prime (11205520425109) and next prime (11205520425161).

It is not a de Polignac number, because 11205520425135 - 211 = 11205520423087 is a prime.

It is a super-2 number, since 2×112055204251352 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11205520425135.

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 79 ways as a sum of consecutive naturals, for example, 100607497 + ... + 100718813.

It is an arithmetic number, because the mean of its divisors is an integer number (252552712500).

Almost surely, 211205520425135 is an apocalyptic number.

11205520425135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11205520425135 is a deficient number, since it is larger than the sum of its proper divisors (8998696574865).

11205520425135 is a wasteful number, since it uses less digits than its factorization.

11205520425135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112782 (or 112773 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

Adding to 11205520425135 its reverse (53152402550211), we get a palindrome (64357922975346).

The spelling of 11205520425135 in words is "eleven trillion, two hundred five billion, five hundred twenty million, four hundred twenty-five thousand, one hundred thirty-five".

Divisors: 1 3 5 9 15 27 45 81 135 199 405 597 995 1249 1791 2985 3747 5373 6245 8955 11241 16119 18735 26865 33723 56205 80595 101169 111317 168615 248551 333951 505845 556585 745653 1001853 1242755 1669755 2236959 3005559 3728265 5009265 6710877 9016677 11184795 15027795 20132631 22152083 33554385 45083385 66456249 100663155 110760415 139034933 199368747 332281245 417104799 598106241 695174665 996843735 1251314397 1794318723 2085523995 2990531205 3753943191 6256571985 8971593615 11261829573 18769715955 27667951667 56309147865 83003855001 138339758335 249011565003 415019275005 747034695009 1245057825015 2241104085027 3735173475045 11205520425135