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13003211 = 1323157277
BaseRepresentation
bin110001100110…
…100111001011
3220110122001102
4301212213023
511312100321
61142412015
7215345144
oct61464713
926418042
1013003211
117381561
12443100b
132903810
141a26acb
15121cc0b
hexc669cb

13003211 has 16 divisors (see below), whose sum is σ = 14758464. Its totient is φ = 11366784.

The previous prime is 13003171. The next prime is 13003219. The reversal of 13003211 is 11230031.

13003211 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-13003211 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13003192 and 13003201.

It is not an unprimeable number, because it can be changed into a prime (13003219) 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, 46805 + ... + 47081.

It is an arithmetic number, because the mean of its divisors is an integer number (922404).

Almost surely, 213003211 is an apocalyptic number.

13003211 is a deficient number, since it is larger than the sum of its proper divisors (1755253).

13003211 is a wasteful number, since it uses less digits than its factorization.

13003211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470.

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 13003211 is about 3605.9965335535. The cubic root of 13003211 is about 235.1528265006.

Adding to 13003211 its reverse (11230031), we get a palindrome (24233242).

The spelling of 13003211 in words is "thirteen million, three thousand, two hundred eleven".

Divisors: 1 13 23 157 277 299 2041 3601 3611 6371 43489 46943 82823 565357 1000247 13003211