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1303003141 = 11259182519
BaseRepresentation
bin100110110101010…
…0100000000000101
310100210211102021121
41031222210000011
510132032100031
6333143513541
744201225656
oct11552440005
93323742247
101303003141
11609569600
123044588b1
13179c49b9b
14c50a352d
15795d5011
hex4daa4005

1303003141 has 12 divisors (see below), whose sum is σ = 1456509600. Its totient is φ = 1164464840.

The previous prime is 1303003123. The next prime is 1303003171. The reversal of 1303003141 is 1413003031.

It is not a de Polignac number, because 1303003141 - 29 = 1303002629 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1303003171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84121 + ... + 98398.

It is an arithmetic number, because the mean of its divisors is an integer number (121375800).

Almost surely, 21303003141 is an apocalyptic number.

1303003141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1303003141 is a deficient number, since it is larger than the sum of its proper divisors (153506459).

1303003141 is a wasteful number, since it uses less digits than its factorization.

1303003141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182600 (or 182589 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 1303003141 is about 36097.1348031946. The cubic root of 1303003141 is about 1092.2326487208.

Adding to 1303003141 its reverse (1413003031), we get a palindrome (2716006172).

The spelling of 1303003141 in words is "one billion, three hundred three million, three thousand, one hundred forty-one".

Divisors: 1 11 59 121 649 7139 182519 2007709 10768621 22084799 118454831 1303003141