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11000212230321 = 3253157146886889
BaseRepresentation
bin1010000000010010111110…
…1111100001000010110001
31102221121110201000002120200
42200010233233201002301
52420211413312332241
635221232220225413
72213511341126526
oct240045757410261
942847421002520
1011000212230321
113561189035776
121297ab899b269
1361a4143a1122
142a05ad81d14d
1514121a12c4b6
hexa012fbe10b1

11000212230321 has 24 divisors (see below), whose sum is σ = 16292106291240. Its totient is φ = 7149278612736.

The previous prime is 11000212230307. The next prime is 11000212230347. The reversal of 11000212230321 is 12303221200011.

11000212230321 is a `hidden beast` number, since 1 + 100 + 0 + 2 + 12 + 230 + 321 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 565600260096 + 10434611970225 = 752064^2 + 3230265^2 .

It is not a de Polignac number, because 11000212230321 - 214 = 11000212213937 is a prime.

It is a super-2 number, since 2×110002122303212 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11000212230294 and 11000212230303.

It is not an unprimeable number, because it can be changed into a prime (11000212235321) 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 23 ways as a sum of consecutive naturals, for example, 73368556 + ... + 73518333.

It is an arithmetic number, because the mean of its divisors is an integer number (678837762135).

Almost surely, 211000212230321 is an apocalyptic number.

It is an amenable number.

11000212230321 is a deficient number, since it is larger than the sum of its proper divisors (5291894060919).

11000212230321 is a wasteful number, since it uses less digits than its factorization.

11000212230321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146887105 (or 146887102 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11000212230321 its reverse (12303221200011), we get a palindrome (23303433430332).

The spelling of 11000212230321 in words is "eleven trillion, two hundred twelve million, two hundred thirty thousand, three hundred twenty-one".

Divisors: 1 3 9 53 157 159 471 477 1413 8321 24963 74889 146886889 440660667 1321982001 7785005117 23061241573 23355015351 69183724719 70065046053 207551174157 1222245803369 3666737410107 11000212230321