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11283325729 = 13281712
BaseRepresentation
bin10101000001000100…
…11110001100100001
31002010100120100001221
422200202132030201
5141102012410404
65103344455041
7546416454244
oct124042361441
932110510057
1011283325729
114870163695
12222a91a481
1310aa837a00
1479078325b
154608a7954
hex2a089e321

11283325729 has 9 divisors (see below), whose sum is σ = 12219534579. Its totient is φ = 10414102920.

The previous prime is 11283325727. The next prime is 11283325759. The reversal of 11283325729 is 92752338211.

The square root of 11283325729 is 106223.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1669131025 + 9614194704 = 40855^2 + 98052^2 .

It is not a de Polignac number, because 11283325729 - 21 = 11283325727 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11283325727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1376814 + ... + 1384984.

Almost surely, 211283325729 is an apocalyptic number.

11283325729 is the 106223-rd square number.

11283325729 is the 53112-nd centered octagonal number.

It is an amenable number.

11283325729 is a deficient number, since it is larger than the sum of its proper divisors (936208850).

11283325729 is an frugal number, since it uses more digits than its factorization.

11283325729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16368 (or 8184 counting only the distinct ones).

The product of its digits is 181440, while the sum is 43.

The spelling of 11283325729 in words is "eleven billion, two hundred eighty-three million, three hundred twenty-five thousand, seven hundred twenty-nine".

Divisors: 1 13 169 8171 106223 1380899 66765241 867948133 11283325729