Search a number
-
+
13133219 = 112311349
BaseRepresentation
bin110010000110…
…010110100011
3220201020101112
4302012112203
511330230334
61145253535
7216426161
oct62062643
926636345
1013133219
117460200
1244942ab
13294aa48
141a5c231
1512464ce
hexc865a3

13133219 has 12 divisors (see below), whose sum is σ = 14523600. Its totient is φ = 11866800.

The previous prime is 13133213. The next prime is 13133233. The reversal of 13133219 is 91233131.

13133219 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 13133219 - 24 = 13133203 is a prime.

It is a super-2 number, since 2×131332192 = 344962882603922, which contains 22 as substring.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13133194 and 13133203.

It is not an unprimeable number, because it can be changed into a prime (13133213) 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, 37457 + ... + 37805.

It is an arithmetic number, because the mean of its divisors is an integer number (1210300).

Almost surely, 213133219 is an apocalyptic number.

13133219 is a deficient number, since it is larger than the sum of its proper divisors (1390381).

13133219 is a wasteful number, since it uses less digits than its factorization.

13133219 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 671 counting only the distinct ones).

The product of its digits is 486, while the sum is 23.

The square root of 13133219 is about 3623.9783387874. The cubic root of 13133219 is about 235.9339264900.

The spelling of 13133219 in words is "thirteen million, one hundred thirty-three thousand, two hundred nineteen".

Divisors: 1 11 121 311 349 3421 3839 37631 42229 108539 1193929 13133219