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212200011101 = 13107453151909
BaseRepresentation
bin1100010110100000011…
…0110011010101011101
3202021201120202110111102
43011220012303111131
511434041200323401
6241252222402445
721221341222331
oct3055006632535
9667646673442
10212200011101
1181aa2413101
1235161430425
1317019a43060
14a3b04c57c1
1557be55256b
hex31681b355d

212200011101 has 8 divisors (see below), whose sum is σ = 228526719960. Its totient is φ = 195873820992.

The previous prime is 212200011077. The next prime is 212200011113. The reversal of 212200011101 is 101110002212.

212200011101 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 4 ways, for example, as 1785147001 + 210414864100 = 42251^2 + 458710^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-212200011101 is a prime.

It is a super-2 number, since 2×2122000111012 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212200011131) 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 7 ways as a sum of consecutive naturals, for example, 1320935 + ... + 1472843.

It is an arithmetic number, because the mean of its divisors is an integer number (28565839995).

Almost surely, 2212200011101 is an apocalyptic number.

It is an amenable number.

212200011101 is a deficient number, since it is larger than the sum of its proper divisors (16326708859).

212200011101 is a wasteful number, since it uses less digits than its factorization.

212200011101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259375.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 212200011101 its reverse (101110002212), we get a palindrome (313310013313).

The spelling of 212200011101 in words is "two hundred twelve billion, two hundred million, eleven thousand, one hundred one".

Divisors: 1 13 107453 151909 1396889 1974817 16323077777 212200011101