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121444303110 = 235132922747303
BaseRepresentation
bin111000100011010100…
…1010000000100000110
3102121110122212210220020
41301012221100010012
53442204220144420
6131442444520010
711526334354434
oct1610651200406
9377418783806
10121444303110
1147560163459
121b653550006
13b5b54a81b0
145c410abd54
15325bb9c340
hex1c46a50106

121444303110 has 128 divisors (see below), whose sum is σ = 326147834880. Its totient is φ = 28735397376.

The previous prime is 121444303103. The next prime is 121444303111. The reversal of 121444303110 is 11303444121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121444303111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2543719 + ... + 2591021.

It is an arithmetic number, because the mean of its divisors is an integer number (2548029960).

Almost surely, 2121444303110 is an apocalyptic number.

121444303110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 121444303110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163073917440).

121444303110 is an abundant number, since it is smaller than the sum of its proper divisors (204703531770).

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

121444303110 is a wasteful number, since it uses less digits than its factorization.

121444303110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47582.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 121444303110 its reverse (11303444121), we get a palindrome (132747747231).

The spelling of 121444303110 in words is "one hundred twenty-one billion, four hundred forty-four million, three hundred three thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 29 30 39 58 65 78 87 130 145 174 195 227 290 377 390 435 454 681 754 870 1131 1135 1362 1885 2262 2270 2951 3405 3770 5655 5902 6583 6810 8853 11310 13166 14755 17706 19749 29510 32915 39498 44265 47303 65830 85579 88530 94606 98745 141909 171158 197490 236515 256737 283818 427895 473030 513474 614939 709545 855790 1229878 1283685 1371787 1419090 1844817 2567370 2743574 3074695 3689634 4115361 6149390 6858935 8230722 9224085 10737781 13717870 17833231 18448170 20576805 21475562 32213343 35666462 41153610 53499693 53688905 64426686 89166155 106999386 107377810 139591153 161066715 178332310 267498465 279182306 311395649 322133430 418773459 534996930 622791298 697955765 837546918 934186947 1395911530 1556978245 1868373894 2093867295 3113956490 4048143437 4187734590 4670934735 8096286874 9341869470 12144430311 20240717185 24288860622 40481434370 60722151555 121444303110