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12181141161 = 327475140697
BaseRepresentation
bin10110101100000110…
…10111011010101001
31011102220222002022100
423112003113122221
5144421333004121
65332420044013
7610600664040
oct132603273251
934386862270
1012181141161
115190a33712
12243b533609
1311c1847c47
14837ad1557
154b4602026
hex2d60d76a9

12181141161 has 24 divisors (see below), whose sum is σ = 20113277184. Its totient is φ = 6959016000.

The previous prime is 12181141157. The next prime is 12181141207. The reversal of 12181141161 is 16114118121.

12181141161 is a `hidden beast` number, since 12 + 181 + 1 + 411 + 61 = 666.

It is not a de Polignac number, because 12181141161 - 22 = 12181141157 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12181141111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 278965 + ... + 319661.

It is an arithmetic number, because the mean of its divisors is an integer number (838053216).

Almost surely, 212181141161 is an apocalyptic number.

It is an amenable number.

12181141161 is a deficient number, since it is larger than the sum of its proper divisors (7932136023).

12181141161 is a wasteful number, since it uses less digits than its factorization.

12181141161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45461 (or 45458 counting only the distinct ones).

The product of its digits is 384, while the sum is 27.

Adding to 12181141161 its reverse (16114118121), we get a palindrome (28295259282).

The spelling of 12181141161 in words is "twelve billion, one hundred eighty-one million, one hundred forty-one thousand, one hundred sixty-one".

Divisors: 1 3 7 9 21 63 4751 14253 33257 40697 42759 99771 122091 284879 299313 366273 854637 2563911 193351447 580054341 1353460129 1740163023 4060380387 12181141161