Search a number
-
+
11200021011102 = 23711199371361707
BaseRepresentation
bin1010001011111011010101…
…0001100001101010011110
31110122201012201110211121210
42202332311101201222132
52432000120334323402
635453115120005250
72234113650550230
oct242766521415236
943581181424553
1011200021011102
1136289a1971060
12130a780460826
13633207bbb921
142aa126366250
151465118ce06c
hexa2fb5461a9e

11200021011102 has 128 divisors (see below), whose sum is σ = 29428579676160. Its totient is φ = 2753042722560.

The previous prime is 11200021011077. The next prime is 11200021011143. The reversal of 11200021011102 is 20111012000211.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7544133 + ... + 8905839.

It is an arithmetic number, because the mean of its divisors is an integer number (229910778720).

Almost surely, 211200021011102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11200021011102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14714289838080).

11200021011102 is an abundant number, since it is smaller than the sum of its proper divisors (18228558665058).

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

11200021011102 is a wasteful number, since it uses less digits than its factorization.

11200021011102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1362686.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11200021011102 its reverse (20111012000211), we get a palindrome (31311033011313).

The spelling of 11200021011102 in words is "eleven trillion, two hundred billion, twenty-one million, eleven thousand, one hundred two".

Divisors: 1 2 3 6 7 11 14 19 21 22 33 38 42 57 66 77 114 133 154 209 231 266 399 418 462 627 798 937 1254 1463 1874 2811 2926 4389 5622 6559 8778 10307 13118 17803 19677 20614 30921 35606 39354 53409 61842 72149 106818 124621 144298 195833 216447 249242 373863 391666 432894 587499 747726 1174998 1361707 1370831 2723414 2741662 4085121 4112493 8170242 8224986 9531949 14978777 19063898 25872433 28595847 29957554 44936331 51744866 57191694 77617299 89872662 104851439 155234598 181107031 209702878 284596763 314554317 362214062 543321093 569193526 629108634 853790289 1086642186 1275919459 1707580578 1992177341 2551838918 3827758377 3984354682 5976532023 7655516754 8931436213 11953064046 14035114049 17862872426 24242469721 26794308639 28070228098 42105342147 48484939442 53588617278 72727409163 84210684294 98245798343 145454818326 169697288047 196491596686 266667166931 294737395029 339394576094 509091864141 533334333862 589474790058 800001500793 1018183728282 1600003001586 1866670168517 3733340337034 5600010505551 11200021011102