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12506131305 = 325277914029
BaseRepresentation
bin10111010010110110…
…00110101101101001
31012021120111021222100
423221123012231221
5201103032200210
65424545444013
7621625235133
oct135133065551
935246437870
1012506131305
115338426608
122510340609
131243c855c5
14868d2c053
154d2dea5c0
hex2e96c6b69

12506131305 has 12 divisors (see below), whose sum is σ = 21677294340. Its totient is φ = 6669936672.

The previous prime is 12506131279. The next prime is 12506131307. The reversal of 12506131305 is 50313160521.

12506131305 is a `hidden beast` number, since 12 + 5 + 0 + 613 + 1 + 30 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1510721424 + 10995409881 = 38868^2 + 104859^2 .

It is not a de Polignac number, because 12506131305 - 28 = 12506131049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12506131307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 138956970 + ... + 138957059.

It is an arithmetic number, because the mean of its divisors is an integer number (1806441195).

Almost surely, 212506131305 is an apocalyptic number.

12506131305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12506131305 is a deficient number, since it is larger than the sum of its proper divisors (9171163035).

12506131305 is a wasteful number, since it uses less digits than its factorization.

12506131305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277914040 (or 277914037 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

Adding to 12506131305 its reverse (50313160521), we get a palindrome (62819291826).

The spelling of 12506131305 in words is "twelve billion, five hundred six million, one hundred thirty-one thousand, three hundred five".

Divisors: 1 3 5 9 15 45 277914029 833742087 1389570145 2501226261 4168710435 12506131305