Search a number
-
+
11010132232164 = 22321323525923573
BaseRepresentation
bin1010000000110111111100…
…0001010100011111100100
31102222120002001020101212100
42200031333001110133210
52420342222322412124
635225552424252100
72214312224553642
oct240157701243744
942876061211770
1011010132232164
11356540967a9aa
121299a07011030
1361b33562bcc0
142a0c710ba192
151415eae871c9
hexa037f0547e4

11010132232164 has 36 divisors (see below), whose sum is σ = 29972026633276. Its totient is φ = 3387732994368.

The previous prime is 11010132232163. The next prime is 11010132232171. The reversal of 11010132232164 is 46123223101011.

11010132232164 is a `hidden beast` number, since 1 + 1 + 0 + 10 + 1 + 322 + 321 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4740156296100 + 6269975936064 = 2177190^2 + 2503992^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×110101322321642 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11010132232163) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11762961319 + ... + 11762962254.

Almost surely, 211010132232164 is an apocalyptic number.

It is an amenable number.

11010132232164 is an abundant number, since it is smaller than the sum of its proper divisors (18961894401112).

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

11010132232164 is a wasteful number, since it uses less digits than its factorization.

11010132232164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23525923596 (or 23525923591 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 11010132232164 its reverse (46123223101011), we get a palindrome (57133355333175).

The spelling of 11010132232164 in words is "eleven trillion, ten billion, one hundred thirty-two million, two hundred thirty-two thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 23525923573 47051847146 70577770719 94103694292 141155541438 211733312157 282311082876 305837006449 423466624314 611674012898 846933248628 917511019347 1223348025796 1835022038694 2752533058041 3670044077388 5505066116082 11010132232164