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12210320311333 = 291669252274133
BaseRepresentation
bin1011000110101110111111…
…0011100000010000100101
31121020021222012211220221221
42301223233303200100211
53100023213444430313
641545202124140341
72400111056114524
oct261535763402045
947207865756857
1012210320311333
113988405547721
1214525376976b1
136a7574b89051
14302da85a24bb
15162942424c8d
hexb1aefce0425

12210320311333 has 8 divisors (see below), whose sum is σ = 12638934113400. Its totient is φ = 11782211060928.

The previous prime is 12210320311307. The next prime is 12210320311351. The reversal of 12210320311333 is 33311302301221.

12210320311333 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 4155718719364 + 8054601591969 = 2038558^2 + 2838063^2 .

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

It is a de Polignac number, because none of the positive numbers 2k-12210320311333 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12210320311298 and 12210320311307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12210320311633) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 126088666 + ... + 126185467.

It is an arithmetic number, because the mean of its divisors is an integer number (1579866764175).

Almost surely, 212210320311333 is an apocalyptic number.

It is an amenable number.

12210320311333 is a deficient number, since it is larger than the sum of its proper divisors (428613802067).

12210320311333 is a wasteful number, since it uses less digits than its factorization.

12210320311333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252275831.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 12210320311333 its reverse (33311302301221), we get a palindrome (45521622612554).

The spelling of 12210320311333 in words is "twelve trillion, two hundred ten billion, three hundred twenty million, three hundred eleven thousand, three hundred thirty-three".

Divisors: 1 29 1669 48401 252274133 7315949857 421045527977 12210320311333