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11313223222110 = 23529411013140233
BaseRepresentation
bin1010010010100001000010…
…1001101100001101011110
31111001112101222101222200120
42210220100221230031132
52440323440121101420
640021120100135410
72245232134506645
oct244502051541536
944045358358616
1011313223222110
113671a02634747
1213286b3697566
13640aa894c834
142b17c494c35c
15149439baed40
hexa4a10a6c35e

11313223222110 has 128 divisors (see below), whose sum is σ = 29057966904960. Its totient is φ = 2813647872000.

The previous prime is 11313223222061. The next prime is 11313223222111. The reversal of 11313223222110 is 1122232231311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11313223222111) 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, 2032554 + ... + 5172786.

It is an arithmetic number, because the mean of its divisors is an integer number (227015366445).

Almost surely, 211313223222110 is an apocalyptic number.

11313223222110 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 11313223222110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14528983452480).

11313223222110 is an abundant number, since it is smaller than the sum of its proper divisors (17744743682850).

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

11313223222110 is a wasteful number, since it uses less digits than its factorization.

11313223222110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3140414.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 11313223222110 its reverse (1122232231311), we get a palindrome (12435455453421).

The spelling of 11313223222110 in words is "eleven trillion, three hundred thirteen billion, two hundred twenty-three million, two hundred twenty-two thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 29 30 41 58 82 87 101 123 145 174 202 205 246 290 303 410 435 505 606 615 870 1010 1189 1230 1515 2378 2929 3030 3567 4141 5858 5945 7134 8282 8787 11890 12423 14645 17574 17835 20705 24846 29290 35670 41410 43935 62115 87870 120089 124230 240178 360267 600445 720534 1200890 1801335 3140233 3602670 6280466 9420699 15701165 18841398 31402330 47103495 91066757 94206990 128749553 182133514 257499106 273200271 317163533 386248659 455333785 546400542 634327066 643747765 772497318 910667570 951490599 1287495530 1366001355 1585817665 1902981198 1931243295 2732002710 3171635330 3733737037 3862486590 4757452995 7467474074 9197742457 9514905990 11201211111 13003704853 18395484914 18668685185 22402422222 26007409706 27593227371 37337370370 39011114559 45988712285 55186454742 56006055555 65018524265 78022229118 91977424570 112012111110 130037048530 137966136855 195055572795 275932273710 377107440737 390111145590 754214881474 1131322322211 1885537203685 2262644644422 3771074407370 5656611611055 11313223222110