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12241141101 = 3273135691091
BaseRepresentation
bin10110110011010000…
…01111110101101101
31011121002212101202100
423121220033311231
5200032213003401
65342402045313
7612226661010
oct133150176555
934532771670
1012241141101
115211894542
122457649839
1312010c4b77
14841a6d377
154b9a04b86
hex2d9a0fd6d

12241141101 has 48 divisors (see below), whose sum is σ = 20326400640. Its totient is φ = 6953955840.

The previous prime is 12241141069. The next prime is 12241141103. The reversal of 12241141101 is 10114114221.

12241141101 is a `hidden beast` number, since 12 + 241 + 1 + 411 + 0 + 1 = 666.

It is not a de Polignac number, because 12241141101 - 25 = 12241141069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12241141103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11219566 + ... + 11220656.

It is an arithmetic number, because the mean of its divisors is an integer number (423466680).

Almost surely, 212241141101 is an apocalyptic number.

It is an amenable number.

12241141101 is a deficient number, since it is larger than the sum of its proper divisors (8085259539).

12241141101 is a wasteful number, since it uses less digits than its factorization.

12241141101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1986 (or 1983 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12241141101 its reverse (10114114221), we get a palindrome (22355255322).

The spelling of 12241141101 in words is "twelve billion, two hundred forty-one million, one hundred forty-one thousand, one hundred one".

Divisors: 1 3 7 9 21 63 313 569 939 1091 1707 2191 2817 3273 3983 5121 6573 7637 9819 11949 19719 22911 35847 68733 178097 341483 534291 620779 1024449 1246679 1602873 1862337 2390381 3073347 3740037 4345453 5587011 7171143 11220111 13036359 21513429 39109077 194303827 582911481 1360126789 1748734443 4080380367 12241141101