Search a number
-
+
11000321217 = 321222257913
BaseRepresentation
bin10100011111010101…
…11001010011000001
31001101122001012212100
422033222321103001
5140012040234332
65015315021013
7536412121224
oct121752712301
931348035770
1011000321217
114735438166
12216bb9a769
13106400a912
14764d555bb
15445b0467c
hex28fab94c1

11000321217 has 6 divisors (see below), whose sum is σ = 15889352882. Its totient is φ = 7333547472.

The previous prime is 11000321177. The next prime is 11000321261. The reversal of 11000321217 is 71212300011.

It is a happy number.

11000321217 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 7034344641 + 3965976576 = 83871^2 + 62976^2 .

It is not a de Polignac number, because 11000321217 - 26 = 11000321153 is a prime.

It is a super-2 number, since 2×110003212172 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11000321217.

It is not an unprimeable number, because it can be changed into a prime (11000326217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 611128948 + ... + 611128965.

Almost surely, 211000321217 is an apocalyptic number.

It is an amenable number.

11000321217 is a deficient number, since it is larger than the sum of its proper divisors (4889031665).

11000321217 is a wasteful number, since it uses less digits than its factorization.

11000321217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222257919 (or 1222257916 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

Adding to 11000321217 its reverse (71212300011), we get a palindrome (82212621228).

The spelling of 11000321217 in words is "eleven billion, three hundred twenty-one thousand, two hundred seventeen".

Divisors: 1 3 9 1222257913 3666773739 11000321217