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11234021444200 = 23522919110140839
BaseRepresentation
bin1010001101111001111111…
…0110111000101001101000
31110202221222021021210112201
42203132133312320221220
52433024233442203300
635520501015145544
72236426344505312
oct243363766705150
943687867253481
1011234021444200
11364135a264745
12131528b0752b4
13636495cc75a9
142aba2dbd87b2
1514735181666a
hexa379fdb8a68

11234021444200 has 96 divisors (see below), whose sum is σ = 27161225856000. Its totient is φ = 4315940652800.

The previous prime is 11234021444179. The next prime is 11234021444207. The reversal of 11234021444200 is 244412043211.

It is not an unprimeable number, because it can be changed into a prime (11234021444207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3962620 + ... + 6178219.

It is an arithmetic number, because the mean of its divisors is an integer number (282929436000).

Almost surely, 211234021444200 is an apocalyptic number.

11234021444200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11234021444200 is an abundant number, since it is smaller than the sum of its proper divisors (15927204411800).

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

11234021444200 is a wasteful number, since it uses less digits than its factorization.

11234021444200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10141075 (or 10141066 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 11234021444200 its reverse (244412043211), we get a palindrome (11478433487411).

The spelling of 11234021444200 in words is "eleven trillion, two hundred thirty-four billion, twenty-one million, four hundred forty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 145 191 200 232 290 382 580 725 764 955 1160 1450 1528 1910 2900 3820 4775 5539 5800 7640 9550 11078 19100 22156 27695 38200 44312 55390 110780 138475 221560 276950 553900 1107800 10140839 20281678 40563356 50704195 81126712 101408390 202816780 253520975 294084331 405633560 507041950 588168662 1014083900 1176337324 1470421655 1936900249 2028167800 2352674648 2940843310 3873800498 5881686620 7352108275 7747600996 9684501245 11763373240 14704216550 15495201992 19369002490 29408433100 38738004980 48422506225 56170107221 58816866200 77476009960 96845012450 112340214442 193690024900 224680428884 280850536105 387380049800 449360857768 561701072210 1123402144420 1404252680525 2246804288840 2808505361050 5617010722100 11234021444200