Search a number
-
+
13314133 = 72437189
BaseRepresentation
bin110010110010…
…100001010101
3221001102120001
4302302201111
511402023013
61153211301
7221111500
oct62624125
927042501
1013314133
117574118
124560b31
1329b21b1
141aa8137
15127eddd
hexcb2855

13314133 has 24 divisors (see below), whose sum is σ = 16251840. Its totient is φ = 10866240.

The previous prime is 13314131. The next prime is 13314139. The reversal of 13314133 is 33141331.

It is not a de Polignac number, because 13314133 - 21 = 13314131 is a prime.

It is a super-2 number, since 2×133141332 = 354532275083378, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13314133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13314131) 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, 149553 + ... + 149641.

It is an arithmetic number, because the mean of its divisors is an integer number (677160).

Almost surely, 213314133 is an apocalyptic number.

13314133 is the 2107-th octagonal number.

It is an amenable number.

13314133 is a deficient number, since it is larger than the sum of its proper divisors (2937707).

13314133 is an equidigital number, since it uses as much as digits as its factorization.

13314133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 210 counting only the distinct ones).

The product of its digits is 324, while the sum is 19.

The square root of 13314133 is about 3648.8536556020. The cubic root of 13314133 is about 237.0123430580.

Adding to 13314133 its reverse (33141331), we get a palindrome (46455464).

The spelling of 13314133 in words is "thirteen million, three hundred fourteen thousand, one hundred thirty-three".

Divisors: 1 7 43 49 71 89 301 497 623 2107 3053 3479 3827 4361 6319 21371 26789 44233 149597 187523 271717 309631 1902019 13314133