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13311319 = 723292851
BaseRepresentation
bin110010110001…
…110101010111
3221001021200211
4302301311113
511401430234
61153150251
7221100340
oct62616527
927037624
1013311319
117571a9a
12455b387
1329b0b28
141aa70c7
15127e164
hexcb1d57

13311319 has 16 divisors (see below), whose sum is σ = 16427520. Its totient is φ = 10533600.

The previous prime is 13311317. The next prime is 13311349. The reversal of 13311319 is 91311331.

13311319 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13311319 - 21 = 13311317 is a prime.

It is a super-2 number, since 2×133113192 = 354382427039522, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13311319.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13311313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3244 + ... + 6094.

It is an arithmetic number, because the mean of its divisors is an integer number (1026720).

Almost surely, 213311319 is an apocalyptic number.

13311319 is a deficient number, since it is larger than the sum of its proper divisors (3116201).

13311319 is a wasteful number, since it uses less digits than its factorization.

13311319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2910.

The product of its digits is 243, while the sum is 22.

The square root of 13311319 is about 3648.4680346688. The cubic root of 13311319 is about 236.9956440178.

The spelling of 13311319 in words is "thirteen million, three hundred eleven thousand, three hundred nineteen".

Divisors: 1 7 23 29 161 203 667 2851 4669 19957 65573 82679 459011 578753 1901617 13311319