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11120003120310 = 235733533061363
BaseRepresentation
bin1010000111010001001111…
…0101011111110010110110
31110101001200010200211001220
42201310103311133302312
52424142231244322220
635352243042531210
72225252020653000
oct241642365376266
943331603624056
1011120003120310
1135a7a6a9553a7
1212b716a666b06
136287c5161756
142a62d5091370
151443cba79540
hexa1d13d5fcb6

11120003120310 has 128 divisors (see below), whose sum is σ = 31211218252800. Its totient is φ = 2534513845248.

The previous prime is 11120003120293. The next prime is 11120003120323. The reversal of 11120003120310 is 1302130002111.

It is a happy number.

It is a super-2 number, since 2×111200031203102 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11120003120310.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2101689 + ... + 5163051.

It is an arithmetic number, because the mean of its divisors is an integer number (243837642600).

Almost surely, 211120003120310 is an apocalyptic number.

11120003120310 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 11120003120310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15605609126400).

11120003120310 is an abundant number, since it is smaller than the sum of its proper divisors (20091215132490).

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

11120003120310 is a wasteful number, since it uses less digits than its factorization.

11120003120310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3061747 (or 3061733 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 11120003120310 its reverse (1302130002111), we get a palindrome (12422133122421).

The spelling of 11120003120310 in words is "eleven trillion, one hundred twenty billion, three million, one hundred twenty thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 343 353 490 686 706 735 1029 1059 1470 1715 1765 2058 2118 2471 3430 3530 4942 5145 5295 7413 10290 10590 12355 14826 17297 24710 34594 37065 51891 74130 86485 103782 121079 172970 242158 259455 363237 518910 605395 726474 1210790 1816185 3061363 3632370 6122726 9184089 15306815 18368178 21429541 30613630 42859082 45920445 64288623 91840890 107147705 128577246 150006787 214295410 300013574 321443115 450020361 642886230 750033935 900040722 1050047509 1080661139 1500067870 2100095018 2161322278 2250101805 3150142527 3241983417 4500203610 5250237545 5403305695 6300285054 6483966834 7564627973 10500475090 10806611390 15129255946 15750712635 16209917085 22693883919 31501425270 32419834170 37823139865 45387767838 52952395811 75646279730 105904791622 113469419595 158857187433 226938839190 264761979055 317714374866 370666770677 529523958110 741333541354 794285937165 1112000312031 1588571874330 1853333853385 2224000624062 3706667706770 5560001560155 11120003120310