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12271629141 = 33454504783
BaseRepresentation
bin10110110110111001…
…00011001101010101
31011200020020100111000
423123130203031111
5200113014113031
65345411333513
7613050061302
oct133334431525
934606210430
1012271629141
115228018672
1224658b1299
13120750b025
14845b280a9
154bc5283e6
hex2db723355

12271629141 has 8 divisors (see below), whose sum is σ = 18180191360. Its totient is φ = 8181086076.

The previous prime is 12271629113. The next prime is 12271629173. The reversal of 12271629141 is 14192617221.

12271629141 is a `hidden beast` number, since 1 + 2 + 27 + 1 + 629 + 1 + 4 + 1 = 666.

It is not a de Polignac number, because 12271629141 - 25 = 12271629109 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12271629096 and 12271629105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12271629841) 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 7 ways as a sum of consecutive naturals, for example, 227252365 + ... + 227252418.

It is an arithmetic number, because the mean of its divisors is an integer number (2272523920).

Almost surely, 212271629141 is an apocalyptic number.

It is an amenable number.

12271629141 is a deficient number, since it is larger than the sum of its proper divisors (5908562219).

12271629141 is an equidigital number, since it uses as much as digits as its factorization.

12271629141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454504792 (or 454504786 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The spelling of 12271629141 in words is "twelve billion, two hundred seventy-one million, six hundred twenty-nine thousand, one hundred forty-one".

Divisors: 1 3 9 27 454504783 1363514349 4090543047 12271629141