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12987012987 = 3313371019901
BaseRepresentation
bin11000001100001011…
…00001011101111011
31020112002100121122000
430012011201131323
5203044133403422
65544404432043
7636554534424
oct140605413573
936462317560
1012987012987
115564915093
1226253a8623
1312bc7a5690
148b2b4864b
15510238cac
hex30616177b

12987012987 has 64 divisors (see below), whose sum is σ = 21492885120. Its totient is φ = 7698240000.

The previous prime is 12987012979. The next prime is 12987013009. The reversal of 12987012987 is 78921078921.

12987012987 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12987012987 - 23 = 12987012979 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (12987012937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1306737 + ... + 1316637.

It is an arithmetic number, because the mean of its divisors is an integer number (335826330).

Almost surely, 212987012987 is an apocalyptic number.

12987012987 is a deficient number, since it is larger than the sum of its proper divisors (8505872133).

12987012987 is a wasteful number, since it uses less digits than its factorization.

12987012987 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10061 (or 10055 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 54.

The spelling of 12987012987 in words is "twelve billion, nine hundred eighty-seven million, twelve thousand, nine hundred eighty-seven".

Divisors: 1 3 9 13 27 37 39 101 111 117 303 333 351 481 909 999 1313 1443 2727 3737 3939 4329 9901 11211 11817 12987 29703 33633 35451 48581 89109 100899 128713 145743 267327 366337 386139 437229 1000001 1099011 1158417 1311687 3000003 3297033 3475251 4762381 9000009 9891099 13000013 14287143 27000027 37000037 39000039 42861429 111000111 117000117 128584287 333000333 351000351 481000481 999000999 1443001443 4329004329 12987012987