Search a number
-
+
1313132203233 = 324116901210557
BaseRepresentation
bin10011000110111100110…
…001110100110011100001
311122112102102220111102200
4103012330301310303201
5133003243321000413
62443124500203413
7163604432364234
oct23067461646341
94575372814380
101313132203233
11466994993914
121925b1399569
1396a9b9a66b6
14477ad6c941b
1524256c8d573
hex131bcc74ce1

1313132203233 has 24 divisors (see below), whose sum is σ = 1943132818536. Its totient is φ = 854015136000.

The previous prime is 1313132203211. The next prime is 1313132203289. The reversal of 1313132203233 is 3323022313131.

1313132203233 is a `hidden beast` number, since 1 + 3 + 1 + 313 + 2 + 20 + 323 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 367741577889 + 945390625344 = 606417^2 + 972312^2 .

It is not a de Polignac number, because 1313132203233 - 233 = 1304542268641 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1313132203197 and 1313132203206.

It is not an unprimeable number, because it can be changed into a prime (1313132205233) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6131191 + ... + 6341747.

It is an arithmetic number, because the mean of its divisors is an integer number (80963867439).

Almost surely, 21313132203233 is an apocalyptic number.

It is an amenable number.

1313132203233 is a deficient number, since it is larger than the sum of its proper divisors (630000615303).

1313132203233 is a wasteful number, since it uses less digits than its factorization.

1313132203233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227505 (or 227502 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 1313132203233 its reverse (3323022313131), we get a palindrome (4636154516364).

The spelling of 1313132203233 in words is "one trillion, three hundred thirteen billion, one hundred thirty-two million, two hundred three thousand, two hundred thirty-three".

Divisors: 1 3 9 41 123 369 16901 50703 152109 210557 631671 692941 1895013 2078823 6236469 8632837 25898511 77695533 3558623857 10675871571 32027614713 145903578137 437710734411 1313132203233