Search a number
-
+
12110010001012 = 22711139389727159
BaseRepresentation
bin1011000000111001010011…
…0110000010011001110100
31120212201001102022011222101
42300032110312002121310
53041402300030013022
641431132314111444
72356630223415310
oct260162466023164
946781042264871
1012110010001012
11394990aa35910
121437001a1b584
1369ac79cab941
142dc1b0246b40
15160020d41627
hexb0394d82674

12110010001012 has 96 divisors (see below), whose sum is σ = 26680372992000. Its totient is φ = 4672193754240.

The previous prime is 12110010001003. The next prime is 12110010001031. The reversal of 12110010001012 is 21010001001121.

It is a super-2 number, since 2×121100100010122 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12110010001012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16290289 + ... + 17017447.

It is an arithmetic number, because the mean of its divisors is an integer number (277920552000).

Almost surely, 212110010001012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12110010001012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13340186496000).

12110010001012 is an abundant number, since it is smaller than the sum of its proper divisors (14570362990988).

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

12110010001012 is a wasteful number, since it uses less digits than its factorization.

12110010001012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727709 (or 727707 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 12110010001012 its reverse (21010001001121), we get a palindrome (33120011002133).

The spelling of 12110010001012 in words is "twelve trillion, one hundred ten billion, ten million, one thousand, twelve".

Divisors: 1 2 4 7 11 14 22 28 44 77 139 154 278 308 389 556 778 973 1529 1556 1946 2723 3058 3892 4279 5446 6116 8558 10703 10892 17116 21406 29953 42812 54071 59906 108142 119812 216284 378497 594781 727159 756994 1189562 1454318 1513988 2379124 2908636 4163467 5090113 7998749 8326934 10180226 15997498 16653868 20360452 31994996 55991243 101075101 111982486 202150202 223964972 282864851 404300404 565729702 707525707 1111826111 1131459404 1415051414 1980053957 2223652222 2830102828 3111513361 3960107914 4447304444 6223026722 7782782777 7920215828 12446053444 15565565554 21780593527 31131131108 39318214289 43561187054 78636428578 87122374108 157272857156 275227500023 432500357179 550455000046 865000714358 1100910000092 1730001428716 3027502500253 6055005000506 12110010001012