Search a number
-
+
12110144223132 = 2234295921845113
BaseRepresentation
bin1011000000111001110011…
…0110000011011110011100
31120212201101202212101010000
42300032130312003132130
53041403033410120012
641431153511014300
72356633443322404
oct260163466033634
946781352771100
1012110144223132
11394997978098a
12143703a96a390
1369ac9ba45107
142dc1c3dc5804
1516002ca05ddc
hexb039cd8379c

12110144223132 has 120 divisors (see below), whose sum is σ = 33305060804400. Its totient is φ = 3831457883904.

The previous prime is 12110144223091. The next prime is 12110144223143. The reversal of 12110144223132 is 23132244101121.

12110144223132 is a `hidden beast` number, since 1 + 2 + 1 + 101 + 4 + 422 + 3 + 132 = 666.

12110144223132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12110144223096 and 12110144223105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10368193 + ... + 11476920.

It is an arithmetic number, because the mean of its divisors is an integer number (277542173370).

Almost surely, 212110144223132 is an apocalyptic number.

12110144223132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12110144223132 is an abundant number, since it is smaller than the sum of its proper divisors (21194916581268).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12110144223132 is a wasteful number, since it uses less digits than its factorization.

12110144223132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21845217 (or 21845206 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 12110144223132 its reverse (23132244101121), we get a palindrome (35242388324253).

The spelling of 12110144223132 in words is "twelve trillion, one hundred ten billion, one hundred forty-four million, two hundred twenty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 59 81 87 108 116 118 162 174 177 236 261 324 348 354 522 531 708 783 1044 1062 1566 1593 1711 2124 2349 3132 3186 3422 4698 4779 5133 6372 6844 9396 9558 10266 15399 19116 20532 30798 46197 61596 92394 138591 184788 277182 554364 21845113 43690226 65535339 87380452 131070678 196606017 262141356 393212034 589818051 633508277 786424068 1179636102 1267016554 1288861667 1769454153 1900524831 2359272204 2534033108 2577723334 3538908306 3801049662 3866585001 5155446668 5701574493 7077816612 7602099324 7733170002 11403148986 11599755003 15466340004 17104723479 22806297972 23199510006 34209446958 34799265009 37376988343 46399020012 51314170437 68418893916 69598530018 74753976686 102628340874 104397795027 112130965029 139197060036 149507953372 205256681748 208795590054 224261930058 336392895087 417591180108 448523860116 672785790174 1009178685261 1345571580348 2018357370522 3027536055783 4036714741044 6055072111566 12110144223132