Search a number
-
+
11133340240221 = 341499541716927
BaseRepresentation
bin1010001000000010111011…
…0010100100100101011101
31110102100002121211201010000
42202000232302210211131
52424402040100141341
635402330315404513
72226233356421343
oct242005662444535
943370077751100
1011133340240221
113602694357a51
1212b9871153739
13629b3c329b94
142a6bdc4d3993
1514490c8bd8b6
hexa202eca495d

11133340240221 has 40 divisors (see below), whose sum is σ = 16646436576000. Its totient is φ = 7415468004672.

The previous prime is 11133340240193. The next prime is 11133340240237. The reversal of 11133340240221 is 12204204333111.

11133340240221 is a `hidden beast` number, since 1 + 1 + 1 + 3 + 33 + 402 + 4 + 0 + 221 = 666.

It is not a de Polignac number, because 11133340240221 - 215 = 11133340207453 is a prime.

It is a super-2 number, since 2×111333402402212 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11133340240261) 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 39 ways as a sum of consecutive naturals, for example, 657718260 + ... + 657735186.

It is an arithmetic number, because the mean of its divisors is an integer number (416160914400).

Almost surely, 211133340240221 is an apocalyptic number.

It is an amenable number.

11133340240221 is a deficient number, since it is larger than the sum of its proper divisors (5513096335779).

11133340240221 is a wasteful number, since it uses less digits than its factorization.

11133340240221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23855 (or 23846 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 11133340240221 its reverse (12204204333111), we get a palindrome (23337544573332).

The spelling of 11133340240221 in words is "eleven trillion, one hundred thirty-three billion, three hundred forty million, two hundred forty thousand, two hundred twenty-one".

Divisors: 1 3 9 27 81 1499 4497 5417 13491 16251 16927 40473 48753 50781 121419 146259 152343 438777 457029 1371087 8120083 24360249 25373573 73080747 76120719 91693559 219242241 228362157 275080677 657726723 685086471 825242031 2055259413 2475726093 7427178279 137448644941 412345934823 1237037804469 3711113413407 11133340240221