Search a number
-
+
11023133311212 = 223112691483209333
BaseRepresentation
bin1010000001101000010111…
…1100100000000011101100
31110000210122010001122111120
42200122011330200003230
52421100334111424322
635235542454420540
72215252343114331
oct240320574400354
943023563048446
1011023133311212
11356a980422030
1212a0435061750
1361c627cbab99
142a1745a46988
15141b0c54da5c
hexa0685f200ec

11023133311212 has 96 divisors (see below), whose sum is σ = 28182318232320. Its totient is φ = 3325665857280.

The previous prime is 11023133311181. The next prime is 11023133311237. The reversal of 11023133311212 is 21211333132011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52553698 + ... + 52763030.

It is an arithmetic number, because the mean of its divisors is an integer number (293565814920).

Almost surely, 211023133311212 is an apocalyptic number.

11023133311212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11023133311212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14091159116160).

11023133311212 is an abundant number, since it is smaller than the sum of its proper divisors (17159184921108).

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

11023133311212 is a wasteful number, since it uses less digits than its factorization.

11023133311212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211103 (or 211101 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 11023133311212 its reverse (21211333132011), we get a palindrome (32234466443223).

The spelling of 11023133311212 in words is "eleven trillion, twenty-three billion, one hundred thirty-three million, three hundred eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 269 538 807 1076 1483 1614 2959 2966 3228 4449 5918 5932 8877 8898 11836 16313 17754 17796 32626 35508 48939 65252 97878 195756 209333 398927 418666 627999 797854 837332 1196781 1255998 1595708 2302663 2393562 2511996 4388197 4605326 4787124 6907989 8776394 9210652 13164591 13815978 17552788 26329182 27631956 52658364 56310577 112621154 168931731 225242308 310440839 337863462 619416347 620881678 675726924 931322517 1238832694 1241763356 1858249041 1862645034 2477665388 3414849229 3716498082 3725290068 6829698458 7432996164 10244547687 13659396916 20489095374 40978190748 83508585691 167017171382 250525757073 334034342764 501051514146 918594442601 1002103028292 1837188885202 2755783327803 3674377770404 5511566655606 11023133311212