Search a number
-
+
12300627105 = 3251365931907
BaseRepresentation
bin10110111010010110…
…01010110010100001
31011202020210121012200
423131023022302201
5200142430031410
65352325043413
7613551414414
oct133513126241
934666717180
1012300627105
115242424228
122473556569
131210521ba0
14849915b7b
154bed553c0
hex2dd2caca1

12300627105 has 48 divisors (see below), whose sum is σ = 22996733760. Its totient is φ = 6046314624.

The previous prime is 12300627089. The next prime is 12300627109. The reversal of 12300627105 is 50172600321.

It is a happy number.

12300627105 is a `hidden beast` number, since 1 + 2 + 30 + 0 + 627 + 1 + 0 + 5 = 666.

12300627105 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 12300627105 - 24 = 12300627089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12300627109) 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 47 ways as a sum of consecutive naturals, for example, 369562 + ... + 401468.

It is an arithmetic number, because the mean of its divisors is an integer number (479098620).

Almost surely, 212300627105 is an apocalyptic number.

12300627105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12300627105 is a deficient number, since it is larger than the sum of its proper divisors (10696106655).

12300627105 is a wasteful number, since it uses less digits than its factorization.

12300627105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32590 (or 32587 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 12300627105 in words is "twelve billion, three hundred million, six hundred twenty-seven thousand, one hundred five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 659 1977 3295 5931 8567 9885 25701 29655 31907 42835 77103 95721 128505 159535 287163 385515 414791 478605 1244373 1435815 2073955 3733119 6221865 18665595 21026713 63080139 105133565 189240417 273347269 315400695 820041807 946202085 1366736345 2460125421 4100209035 12300627105