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12141242181 = 327119799601
BaseRepresentation
bin10110100111010110…
…01010011101000101
31011100010220000012100
423103223022131011
5144331124222211
65324432542313
7606604566345
oct132353123505
934303800170
1012141242181
115170461a52
12242a0b1999
1311b64b8393
148326a6d25
154b0d70156
hex2d3aca745

12141242181 has 24 divisors (see below), whose sum is σ = 17795194560. Its totient is φ = 7975296000.

The previous prime is 12141242161. The next prime is 12141242207. The reversal of 12141242181 is 18124214121.

12141242181 is a `hidden beast` number, since 121 + 41 + 2 + 421 + 81 = 666.

It is not a de Polignac number, because 12141242181 - 210 = 12141241157 is a prime.

It is a super-2 number, since 2×121412421812 (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 (12141242161) 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, 1259781 + ... + 1269381.

It is an arithmetic number, because the mean of its divisors is an integer number (741466440).

Almost surely, 212141242181 is an apocalyptic number.

It is an amenable number.

12141242181 is a deficient number, since it is larger than the sum of its proper divisors (5653952379).

12141242181 is a wasteful number, since it uses less digits than its factorization.

12141242181 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11657 (or 11654 counting only the distinct ones).

The product of its digits is 1024, while the sum is 27.

The spelling of 12141242181 in words is "twelve billion, one hundred forty-one million, two hundred forty-two thousand, one hundred eighty-one".

Divisors: 1 3 9 71 213 639 1979 5937 9601 17811 28803 86409 140509 421527 681671 1264581 2045013 6135039 19000379 57001137 171003411 1349026909 4047080727 12141242181