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12210321101333 = 731594211049201
BaseRepresentation
bin1011000110101110111111…
…0110100001001000010101
31121020021222021100001122012
42301223233312201020111
53100023214200220313
641545202153114005
72400111065614655
oct261535766411025
947207867301565
1012210321101333
113988405a37213
1214525379b8905
136a75750a47c4
14302da872a365
1516294252dda8
hexb1aefda1215

12210321101333 has 8 divisors (see below), whose sum is σ = 12377675212056. Its totient is φ = 12042969408000.

The previous prime is 12210321101311. The next prime is 12210321101369. The reversal of 12210321101333 is 33310112301221.

It can be written as a sum of positive squares in 4 ways, for example, as 8196957959089 + 4013363142244 = 2863033^2 + 2003338^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 12210321101333 - 216 = 12210321035797 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12210321101299 and 12210321101308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12210321601333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11113133 + ... + 12162333.

It is an arithmetic number, because the mean of its divisors is an integer number (1547209401507).

Almost surely, 212210321101333 is an apocalyptic number.

It is an amenable number.

12210321101333 is a deficient number, since it is larger than the sum of its proper divisors (167354110723).

12210321101333 is a wasteful number, since it uses less digits than its factorization.

12210321101333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1208695.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 12210321101333 its reverse (33310112301221), we get a palindrome (45520433402554).

The spelling of 12210321101333 in words is "twelve trillion, two hundred ten billion, three hundred twenty-one million, one hundred one thousand, three hundred thirty-three".

Divisors: 1 73 159421 1049201 11637733 76591673 167264672621 12210321101333