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11213319 = 3132171301
BaseRepresentation
bin101010110001…
…101000000111
3210002200210010
4222301220013
510332311234
61040201303
7164211615
oct52615007
923080703
1011213319
116369807
123909233
132427c00
1416bc6b5
15eb76e9
hexab1a07

11213319 has 24 divisors (see below), whose sum is σ = 17155152. Its totient is φ = 6489600.

The previous prime is 11213303. The next prime is 11213347. The reversal of 11213319 is 91331211.

It is not a de Polignac number, because 11213319 - 24 = 11213303 is a prime.

It is a super-2 number, since 2×112133192 = 251477045991522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11213295 and 11213304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11213359) 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 23 ways as a sum of consecutive naturals, for example, 7969 + ... + 9269.

It is an arithmetic number, because the mean of its divisors is an integer number (714798).

Almost surely, 211213319 is an apocalyptic number.

11213319 is a deficient number, since it is larger than the sum of its proper divisors (5941833).

11213319 is a wasteful number, since it uses less digits than its factorization.

11213319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1347 (or 1334 counting only the distinct ones).

The product of its digits is 162, while the sum is 21.

The square root of 11213319 is about 3348.6294211214. The cubic root of 11213319 is about 223.8264426761.

It can be divided in two parts, 112 and 13319, that added together give a palindrome (13431).

The spelling of 11213319 in words is "eleven million, two hundred thirteen thousand, three hundred nineteen".

Divisors: 1 3 13 17 39 51 169 221 507 663 1301 2873 3903 8619 16913 22117 50739 66351 219869 287521 659607 862563 3737773 11213319