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13003032133 = 713160988807
BaseRepresentation
bin11000001110000101…
…01000011001000101
31020120012111110202201
430013002220121011
5203112234012013
65550140034501
7640140643450
oct140702503105
936505443681
1013003032133
115572966553
12262a832a31
1312c2bc3b70
148b4d18497
155118503dd
hex3070a8645

13003032133 has 16 divisors (see below), whose sum is σ = 16013858560. Its totient is φ = 10281603456.

The previous prime is 13003032127. The next prime is 13003032143. The reversal of 13003032133 is 33123030031.

It is a cyclic number.

It is not a de Polignac number, because 13003032133 - 229 = 12466161221 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13003032133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13003032113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102016 + ... + 190822.

It is an arithmetic number, because the mean of its divisors is an integer number (1000866160).

Almost surely, 213003032133 is an apocalyptic number.

13003032133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13003032133 is a deficient number, since it is larger than the sum of its proper divisors (3010826427).

13003032133 is a wasteful number, since it uses less digits than its factorization.

13003032133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90436.

The product of its (nonzero) digits is 486, while the sum is 19.

Adding to 13003032133 its reverse (33123030031), we get a palindrome (46126062164).

The spelling of 13003032133 in words is "thirteen billion, three million, thirty-two thousand, one hundred thirty-three".

Divisors: 1 7 13 91 1609 11263 20917 88807 146419 621649 1154491 8081437 142890463 1000233241 1857576019 13003032133