Search a number
-
+
11027133 = 32133072
BaseRepresentation
bin101010000100…
…001010111101
3202202020101100
4222010022331
510310332013
61032203313
7162505035
oct52041275
922666340
1011027133
116251937
123839539
132391240
1416708c5
15e7c473
hexa842bd

11027133 has 18 divisors (see below), whose sum is σ = 17209374. Its totient is φ = 6763824.

The previous prime is 11027129. The next prime is 11027173. The reversal of 11027133 is 33172011.

It can be written as a sum of positive squares in only one way, i.e., 7634169 + 3392964 = 2763^2 + 1842^2 .

It is not a de Polignac number, because 11027133 - 22 = 11027129 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11027173) 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 17 ways as a sum of consecutive naturals, for example, 35766 + ... + 36072.

Almost surely, 211027133 is an apocalyptic number.

11027133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11027133 is a deficient number, since it is larger than the sum of its proper divisors (6182241).

11027133 is an equidigital number, since it uses as much as digits as its factorization.

11027133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 11027133 is about 3320.7127247023. The cubic root of 11027133 is about 222.5807172531.

Adding to 11027133 its reverse (33172011), we get a palindrome (44199144).

The spelling of 11027133 in words is "eleven million, twenty-seven thousand, one hundred thirty-three".

Divisors: 1 3 9 13 39 117 307 921 2763 3991 11973 35919 94249 282747 848241 1225237 3675711 11027133