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1313212212333 = 32789234209419
BaseRepresentation
bin10011000111000001100…
…011000010010001101101
311122112122000110101021200
4103013001203002101231
5133003424311243313
62443140435120113
7163606423426020
oct23070143022155
94575560411250
101313212212333
11466a2607093a
12192614143039
1396ab243ac68
14477ba1951b7
152425dce4b73
hex131c18c246d

1313212212333 has 24 divisors (see below), whose sum is σ = 2192200171200. Its totient is φ = 741975436224.

The previous prime is 1313212212329. The next prime is 1313212212421. The reversal of 1313212212333 is 3332122123131.

1313212212333 is a `hidden beast` number, since 1 + 3 + 1 + 321 + 2 + 2 + 1 + 2 + 333 = 666.

It is not a de Polignac number, because 1313212212333 - 22 = 1313212212329 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1313212212297 and 1313212212306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313212212133) 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 23 ways as a sum of consecutive naturals, for example, 117099103 + ... + 117110316.

It is an arithmetic number, because the mean of its divisors is an integer number (91341673800).

Almost surely, 21313212212333 is an apocalyptic number.

It is an amenable number.

1313212212333 is a deficient number, since it is larger than the sum of its proper divisors (878987958867).

1313212212333 is a wasteful number, since it uses less digits than its factorization.

1313212212333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234209521 (or 234209518 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

Adding to 1313212212333 its reverse (3332122123131), we get a palindrome (4645334335464).

The spelling of 1313212212333 in words is "one trillion, three hundred thirteen billion, two hundred twelve million, two hundred twelve thousand, three hundred thirty-three".

Divisors: 1 3 7 9 21 63 89 267 623 801 1869 5607 234209419 702628257 1639465933 2107884771 4918397799 14755193397 20844638291 62533914873 145912468037 187601744619 437737404111 1313212212333