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12332022105 = 35132171915061
BaseRepresentation
bin10110111110000101…
…11011100101011001
31011211102212122001110
423133002323211121
5200223444201410
65355410010533
7614412313134
oct133702734531
934742778043
1012332022105
115259117807
122481b76a49
131216b94b00
1484db6921b
154c29a7720
hex2df0bb959

12332022105 has 96 divisors (see below), whose sum is σ = 23814829440. Its totient is φ = 5412925440.

The previous prime is 12332022091. The next prime is 12332022133. The reversal of 12332022105 is 50122023321.

It is a de Polignac number, because none of the positive numbers 2k-12332022105 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 811275 + ... + 826335.

It is an arithmetic number, because the mean of its divisors is an integer number (248071140).

Almost surely, 212332022105 is an apocalyptic number.

12332022105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12332022105 is a deficient number, since it is larger than the sum of its proper divisors (11482807335).

12332022105 is a wasteful number, since it uses less digits than its factorization.

12332022105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15131 (or 15118 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 12332022105 its reverse (50122023321), we get a palindrome (62454045426).

The spelling of 12332022105 in words is "twelve billion, three hundred thirty-two million, twenty-two thousand, one hundred five".

Divisors: 1 3 5 13 15 17 19 39 51 57 65 85 95 169 195 221 247 255 285 323 507 663 741 845 969 1105 1235 1615 2535 2873 3211 3315 3705 4199 4845 8619 9633 12597 14365 15061 16055 20995 43095 45183 48165 54587 62985 75305 163761 195793 225915 256037 272935 286159 587379 768111 818805 858477 978965 1280185 1430795 2545309 2936895 3328481 3720067 3840555 4292385 4864703 7635927 9985443 11160201 12726545 14594109 16642405 18600335 24323515 38179635 43270253 48360871 49927215 55801005 63241139 72970545 129810759 145082613 189723417 216351265 241804355 316205695 649053795 725413065 822134807 948617085 2466404421 4110674035 12332022105