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11211222230310 = 23531103743157523
BaseRepresentation
bin1010001100100101000011…
…1010110010010100100110
31110200210010100112201201110
42203021100322302110212
52432141040342332220
635502210413005450
72234661352416054
oct243112072622446
943623110481643
1011211222230310
11363271a744913
121310987783886
136342a170949b
142aa8a9c551d4
15146969e68be0
hexa3250eb2526

11211222230310 has 128 divisors (see below), whose sum is σ = 28082481463296. Its totient is φ = 2861254811520.

The previous prime is 11211222230137. The next prime is 11211222230317. The reversal of 11211222230310 is 1303222211211.

It is a super-2 number, since 2×112112222303102 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11211222230317) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 71093209 + ... + 71250731.

It is an arithmetic number, because the mean of its divisors is an integer number (219394386432).

Almost surely, 211211222230310 is an apocalyptic number.

11211222230310 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 11211222230310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14041240731648).

11211222230310 is an abundant number, since it is smaller than the sum of its proper divisors (16871259232986).

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

11211222230310 is a wasteful number, since it uses less digits than its factorization.

11211222230310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158410.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 11211222230310 its reverse (1303222211211), we get a palindrome (12514444441521).

The spelling of 11211222230310 in words is "eleven trillion, two hundred eleven billion, two hundred twenty-two million, two hundred thirty thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 103 155 186 206 309 310 465 515 618 743 930 1030 1486 1545 2229 3090 3193 3715 4458 6386 7430 9579 11145 15965 19158 22290 23033 31930 46066 47895 69099 76529 95790 115165 138198 153058 157523 229587 230330 315046 345495 382645 459174 472569 690990 765290 787615 945138 1147935 1575230 2295870 2362845 2372399 4725690 4744798 4883213 7117197 9766426 11861995 14234394 14649639 16224869 23723990 24416065 29299278 32449738 35585985 48674607 48832130 71171970 73248195 81124345 97349214 117039589 146496390 162248690 234079178 243373035 351118767 486746070 502970939 585197945 702237534 1005941878 1170395890 1508912817 1755593835 2514854695 3017825634 3511187670 3628227259 5029709390 7256454518 7544564085 10884681777 12055077667 15089128170 18141136295 21769363554 24110155334 36165233001 36282272590 54423408885 60275388335 72330466002 108846817770 120550776670 180826165005 361652330010 373707407677 747414815354 1121122223031 1868537038385 2242244446062 3737074076770 5605611115155 11211222230310