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1331441001 = 321113448899
BaseRepresentation
bin100111101011100…
…0010110101101001
310102210100012200200
41033113002311221
510211322103001
6340041222413
744665030122
oct11727026551
93383305620
101331441001
11623622370
12311a91a09
13182ac5b17
14c8b87049
157bd51086
hex4f5c2d69

1331441001 has 12 divisors (see below), whose sum is σ = 2098028400. Its totient is φ = 806933880.

The previous prime is 1331440973. The next prime is 1331441021. The reversal of 1331441001 is 1001441331.

It is not a de Polignac number, because 1331441001 - 214 = 1331424617 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1331441021) 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 11 ways as a sum of consecutive naturals, for example, 6724351 + ... + 6724548.

It is an arithmetic number, because the mean of its divisors is an integer number (174835700).

Almost surely, 21331441001 is an apocalyptic number.

1331441001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1331441001 is a deficient number, since it is larger than the sum of its proper divisors (766587399).

1331441001 is a wasteful number, since it uses less digits than its factorization.

1331441001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13448916 (or 13448913 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1331441001 is about 36488.9161390140. The cubic root of 1331441001 is about 1100.1214744637.

Adding to 1331441001 its reverse (1001441331), we get a palindrome (2332882332).

The spelling of 1331441001 in words is "one billion, three hundred thirty-one million, four hundred forty-one thousand, one".

Divisors: 1 3 9 11 33 99 13448899 40346697 121040091 147937889 443813667 1331441001