Search a number
-
+
12606330105 = 34553587297
BaseRepresentation
bin10111011110110010…
…10101010011111001
31012112120000220220000
423233121111103321
5201304210030410
65442525223213
7624253015665
oct135731252371
935476026800
1012606330105
115389a43436
122539a01b09
13125b968735
148783718a5
154dbadddc0
hex2ef6554f9

12606330105 has 40 divisors (see below), whose sum is σ = 23024430792. Its totient is φ = 6596508672.

The previous prime is 12606330101. The next prime is 12606330119. The reversal of 12606330105 is 50103360621.

12606330105 is a `hidden beast` number, since 1 + 26 + 0 + 633 + 0 + 1 + 0 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1388978361 + 11217351744 = 37269^2 + 105912^2 .

It is not a de Polignac number, because 12606330105 - 22 = 12606330101 is a prime.

It is a super-2 number, since 2×126063301052 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12606330101) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 272184 + ... + 315113.

Almost surely, 212606330105 is an apocalyptic number.

12606330105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12606330105 is a deficient number, since it is larger than the sum of its proper divisors (10418100687).

12606330105 is an equidigital number, since it uses as much as digits as its factorization.

12606330105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587367 (or 587358 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 12606330105 its reverse (50103360621), we get a palindrome (62709690726).

The spelling of 12606330105 in words is "twelve billion, six hundred six million, three hundred thirty thousand, one hundred five".

Divisors: 1 3 5 9 15 27 45 53 81 135 159 265 405 477 795 1431 2385 4293 7155 21465 587297 1761891 2936485 5285673 8809455 15857019 26428365 31126741 47571057 79285095 93380223 155633705 237855285 280140669 466901115 840422007 1400703345 2521266021 4202110035 12606330105