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1331144241 = 3733134133
BaseRepresentation
bin100111101010111…
…1010011000110001
310102202210010121120
41033111322120301
510211233103431
6340031012453
744662353000
oct11725723061
93382703546
101331144241
1162343a409
1231196a129
13182a20a1b
14c8b0ac37
157bce3196
hex4f57a631

1331144241 has 32 divisors (see below), whose sum is σ = 2076921600. Its totient is φ = 758040192.

The previous prime is 1331144239. The next prime is 1331144261. The reversal of 1331144241 is 1424411331.

It is not a de Polignac number, because 1331144241 - 21 = 1331144239 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1331144201) 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 31 ways as a sum of consecutive naturals, for example, 320011 + ... + 324143.

It is an arithmetic number, because the mean of its divisors is an integer number (64903800).

Almost surely, 21331144241 is an apocalyptic number.

It is an amenable number.

1331144241 is a deficient number, since it is larger than the sum of its proper divisors (745777359).

1331144241 is an equidigital number, since it uses as much as digits as its factorization.

1331144241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4470 (or 4456 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 1331144241 is about 36484.8494720754. The cubic root of 1331144241 is about 1100.0397343774.

Adding to 1331144241 its reverse (1424411331), we get a palindrome (2755555572).

The spelling of 1331144241 in words is "one billion, three hundred thirty-one million, one hundred forty-four thousand, two hundred forty-one".

Divisors: 1 3 7 21 49 147 313 343 939 1029 2191 4133 6573 12399 15337 28931 46011 86793 107359 202517 322077 607551 1293629 1417619 3880887 4252857 9055403 27166209 63387821 190163463 443714747 1331144241