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12271835421 = 341011500041
BaseRepresentation
bin10110110110111010…
…10101100100011101
31011200020121211110000
423123131111210131
5200113042213141
65345420004513
7613051610556
oct133335254435
934606554400
1012271835421
11522814964a
122465990739
131207580ba1
14845b7d32d
154bc5695b6
hex2db75591d

12271835421 has 20 divisors (see below), whose sum is σ = 18513518364. Its totient is φ = 8100216000.

The previous prime is 12271835351. The next prime is 12271835447. The reversal of 12271835421 is 12453817221.

12271835421 is a `hidden beast` number, since 1 + 227 + 1 + 8 + 3 + 5 + 421 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5347265625 + 6924569796 = 73125^2 + 83214^2 .

It is not a de Polignac number, because 12271835421 - 214 = 12271819037 is a prime.

It is a super-2 number, since 2×122718354212 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12271835461) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 741840 + ... + 758201.

Almost surely, 212271835421 is an apocalyptic number.

It is an amenable number.

12271835421 is a deficient number, since it is larger than the sum of its proper divisors (6241682943).

12271835421 is a wasteful number, since it uses less digits than its factorization.

12271835421 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1500154 (or 1500145 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The spelling of 12271835421 in words is "twelve billion, two hundred seventy-one million, eight hundred thirty-five thousand, four hundred twenty-one".

Divisors: 1 3 9 27 81 101 303 909 2727 8181 1500041 4500123 13500369 40501107 121503321 151504141 454512423 1363537269 4090611807 12271835421