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12305379105 = 325273452869
BaseRepresentation
bin10110111010111010…
…10010111100100001
31011202120202000201200
423131131102330201
5200200134112410
65353014551413
7613636665555
oct133535227441
934676660650
1012305379105
11524507a4a8
122475068569
1312114c6b16
1484a3d1865
154c04933c0
hex2dd752f21

12305379105 has 12 divisors (see below), whose sum is σ = 21329323860. Its totient is φ = 6562868832.

The previous prime is 12305379091. The next prime is 12305379139. The reversal of 12305379105 is 50197350321.

12305379105 is a `hidden beast` number, since 1 + 2 + 30 + 537 + 91 + 0 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2570794209 + 9734584896 = 50703^2 + 98664^2 .

It is not a de Polignac number, because 12305379105 - 28 = 12305378849 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12305379105.

It is an unprimeable number.

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, 136726390 + ... + 136726479.

It is an arithmetic number, because the mean of its divisors is an integer number (1777443655).

Almost surely, 212305379105 is an apocalyptic number.

12305379105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12305379105 is a deficient number, since it is larger than the sum of its proper divisors (9023944755).

12305379105 is a wasteful number, since it uses less digits than its factorization.

12305379105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273452880 (or 273452877 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The spelling of 12305379105 in words is "twelve billion, three hundred five million, three hundred seventy-nine thousand, one hundred five".

Divisors: 1 3 5 9 15 45 273452869 820358607 1367264345 2461075821 4101793035 12305379105