Search a number
-
+
11210221130100 = 223522313112402059
BaseRepresentation
bin1010001100100001010100…
…1111111001000101110100
31110200200112120210120101220
42203020111033321011310
52432132013102130400
635501523211550340
72234624505253416
oct243102517710564
943620476716356
1011210221130100
11363225663a473
12131074845b3b0
136341721a55b5
142aa812cdc9b6
1514690c11b7a0
hexa32153f9174

11210221130100 has 144 divisors (see below), whose sum is σ = 34103482237440. Its totient is φ = 2837590870400.

The previous prime is 11210221130089. The next prime is 11210221130111. The reversal of 11210221130100 is 103112201211.

It is an interprime number because it is at equal distance from previous prime (11210221130089) and next prime (11210221130111).

It is a super-3 number, since 3×112102211301003 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 11210221130100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5297130 + ... + 7104929.

It is an arithmetic number, because the mean of its divisors is an integer number (236829737760).

Almost surely, 211210221130100 is an apocalyptic number.

11210221130100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11210221130100 is an abundant number, since it is smaller than the sum of its proper divisors (22893261107340).

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

11210221130100 is a wasteful number, since it uses less digits than its factorization.

11210221130100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12402230 (or 12402223 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 11210221130100 its reverse (103112201211), we get a palindrome (11313333331311).

The spelling of 11210221130100 in words is "eleven trillion, two hundred ten billion, two hundred twenty-one million, one hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 131 138 150 230 262 276 300 345 393 460 524 575 655 690 786 1150 1310 1380 1572 1725 1965 2300 2620 3013 3275 3450 3930 6026 6550 6900 7860 9039 9825 12052 13100 15065 18078 19650 30130 36156 39300 45195 60260 75325 90390 150650 180780 225975 301300 451950 903900 12402059 24804118 37206177 49608236 62010295 74412354 124020590 148824708 186030885 248041180 285247357 310051475 372061770 570494714 620102950 744123540 855742071 930154425 1140989428 1240205900 1426236785 1624669729 1711484142 1860308850 2852473570 3249339458 3422968284 3720617700 4278710355 4874009187 5704947140 6498678916 7131183925 8123348645 8557420710 9748018374 14262367850 16246697290 17114841420 19496036748 21393551775 24370045935 28524735700 32493394580 37367403767 40616743225 42787103550 48740091870 74734807534 81233486450 85574207100 97480183740 112102211301 121850229675 149469615068 162466972900 186837018835 224204422602 243700459350 373674037670 448408845204 487400918700 560511056505 747348075340 934185094175 1121022113010 1868370188350 2242044226020 2802555282525 3736740376700 5605110565050 11210221130100