Search a number
-
+
11121825 = 35211131761
BaseRepresentation
bin101010011011…
…010010100001
3202221001021110
4222123102201
510321344300
61034213533
7163351101
oct52332241
922831243
1011121825
116306aa0
1238842a9
1323c5380
141697201
15e9a550
hexa9b4a1

11121825 has 96 divisors (see below), whose sum is σ = 23248512. Its totient is φ = 4608000.

The previous prime is 11121823. The next prime is 11121841. The reversal of 11121825 is 52812111.

11121825 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 11121825 - 21 = 11121823 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11121823) 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 95 ways as a sum of consecutive naturals, for example, 182295 + ... + 182355.

It is an arithmetic number, because the mean of its divisors is an integer number (242172).

Almost surely, 211121825 is an apocalyptic number.

11121825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11121825 is an abundant number, since it is smaller than the sum of its proper divisors (12126687).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11121825 is a wasteful number, since it uses less digits than its factorization.

11121825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 110 counting only the distinct ones).

The product of its digits is 160, while the sum is 21.

The square root of 11121825 is about 3334.9400294458. The cubic root of 11121825 is about 223.2160159561.

Adding to 11121825 its reverse (52812111), we get a palindrome (63933936).

The spelling of 11121825 in words is "eleven million, one hundred twenty-one thousand, eight hundred twenty-five".

Divisors: 1 3 5 11 13 15 17 25 33 39 51 55 61 65 75 85 143 165 183 187 195 221 255 275 305 325 425 429 561 663 671 715 793 825 915 935 975 1037 1105 1275 1525 2013 2145 2379 2431 2805 3111 3315 3355 3575 3965 4575 4675 5185 5525 7293 8723 10065 10725 11407 11895 12155 13481 14025 15555 16575 16775 19825 25925 26169 34221 36465 40443 43615 50325 57035 59475 60775 67405 77775 130845 148291 171105 182325 202215 218075 285175 337025 444873 654225 741455 855525 1011075 2224365 3707275 11121825