Search a number
-
+
11243335450112 = 29172361920701
BaseRepresentation
bin1010001110011100101100…
…0000111111111000000000
31110210212000101020022200122
42203213023000333320000
52433202322333400422
635525041134435412
72240206222321433
oct243471300777000
943725011208618
1011243335450112
1136452a9826197
12131704a362b68
1363731b83a6ac
142ac274bcb81a
151476e936bd42
hexa39cb03fe00

11243335450112 has 160 divisors (see below), whose sum is σ = 25227264262464. Its totient is φ = 4977967104000.

The previous prime is 11243335450097. The next prime is 11243335450133. The reversal of 11243335450112 is 21105453334211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11751362 + ... + 12672062.

Almost surely, 211243335450112 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 11243335450112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12613632131232).

11243335450112 is an abundant number, since it is smaller than the sum of its proper divisors (13983928812352).

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

11243335450112 is an equidigital number, since it uses as much as digits as its factorization.

11243335450112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920820 (or 920804 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

Adding to 11243335450112 its reverse (21105453334211), we get a palindrome (32348788784323).

The spelling of 11243335450112 in words is "eleven trillion, two hundred forty-three billion, three hundred thirty-five million, four hundred fifty thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 23 32 34 46 61 64 68 92 122 128 136 184 244 256 272 368 391 488 512 544 736 782 976 1037 1088 1403 1472 1564 1952 2074 2176 2806 2944 3128 3904 4148 4352 5612 5888 6256 7808 8296 8704 11224 11776 12512 15616 16592 22448 23851 25024 31232 33184 44896 47702 50048 66368 89792 95404 100096 132736 179584 190808 200192 265472 359168 381616 530944 718336 763232 920701 1526464 1841402 3052928 3682804 6105856 7365608 12211712 14731216 15651917 21176123 29462432 31303834 42352246 56162761 58924864 62607668 84704492 112325522 117849728 125215336 169408984 224651044 235699456 250430672 338817968 359994091 449302088 471398912 500861344 677635936 719988182 898604176 954766937 1001722688 1291743503 1355271872 1439976364 1797208352 1909533874 2003445376 2583487006 2710543744 2879952728 3594416704 3819067748 4006890752 5166974012 5421087488 5759905456 7188833408 7638135496 8013781504 10333948024 10842174976 11519810912 14377666816 15276270992 20667896048 21959639551 23039621824 28755333632 30552541984 41335792096 43919279102 46079243648 61105083968 82671584192 87838558204 92158487296 122210167936 165343168384 175677116408 184316974592 244420335872 330686336768 351354232816 488840671744 661372673536 702708465632 1405416931264 2810833862528 5621667725056 11243335450112