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1331320320333 = 32253229584153
BaseRepresentation
bin10011010111111000110…
…111111111000101001101
311201021101000001120121100
4103113320313333011031
5133303021000222313
62455333342453313
7165120234002553
oct23277067770515
94637330046540
101331320320333
11473678682453
12196028594239
1398709b90673
14486170c3bd3
152496d905173
hex135f8dff14d

1331320320333 has 12 divisors (see below), whose sum is σ = 1923029126460. Its totient is φ = 887541855936.

The previous prime is 1331320320277. The next prime is 1331320320353. The reversal of 1331320320333 is 3330230231331.

1331320320333 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 3 + 2 + 0 + 320 + 333 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1232106660009 + 99213660324 = 1110003^2 + 314982^2 .

It is not a de Polignac number, because 1331320320333 - 213 = 1331320312141 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1331320320297 and 1331320320306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331320320353) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1986985 + ... + 2571137.

It is an arithmetic number, because the mean of its divisors is an integer number (160252427205).

Almost surely, 21331320320333 is an apocalyptic number.

It is an amenable number.

1331320320333 is a deficient number, since it is larger than the sum of its proper divisors (591708806127).

1331320320333 is a wasteful number, since it uses less digits than its factorization.

1331320320333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837388 (or 837385 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 1331320320333 its reverse (3330230231331), we get a palindrome (4661550551664).

It can be divided in two parts, 1331320 and 320333, that added together give a triangular number (1651653 = T1817).

The spelling of 1331320320333 in words is "one trillion, three hundred thirty-one billion, three hundred twenty million, three hundred twenty thousand, three hundred thirty-three".

Divisors: 1 3 9 253229 584153 759687 1752459 2279061 5257377 147924480037 443773440111 1331320320333