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14223241022100 = 22352116736404269
BaseRepresentation
bin1100111011111001101100…
…1110101000101010010100
31212100201200010021220000020
43032332123032220222110
53331013144200201400
650130022224545140
72665411112624355
oct316763316505224
955321603256006
1014223241022100
114594051837770
1217186867821b0
137c23272503b6
143725a105bd2c
15199ea48e12a0
hexcef9b3a8a94

14223241022100 has 144 divisors (see below), whose sum is σ = 44960434639680. Its totient is φ = 3442934476800.

The previous prime is 14223241022093. The next prime is 14223241022227. The reversal of 14223241022100 is 122014232241.

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, 981235 + ... + 5423034.

Almost surely, 214223241022100 is an apocalyptic number.

14223241022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14223241022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22480217319840).

14223241022100 is an abundant number, since it is smaller than the sum of its proper divisors (30737193617580).

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

14223241022100 is a wasteful number, since it uses less digits than its factorization.

14223241022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6404970 (or 6404963 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 14223241022100 its reverse (122014232241), we get a palindrome (14345255254341).

The spelling of 14223241022100 in words is "fourteen trillion, two hundred twenty-three billion, two hundred forty-one million, twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 673 825 1100 1346 1650 2019 2692 3300 3365 4038 6730 7403 8076 10095 13460 14806 16825 20190 22209 29612 33650 37015 40380 44418 50475 67300 74030 88836 100950 111045 148060 185075 201900 222090 370150 444180 555225 740300 1110450 2220900 6404269 12808538 19212807 25617076 32021345 38425614 64042690 70446959 76851228 96064035 128085380 140893918 160106725 192128070 211340877 281787836 320213450 352234795 384256140 422681754 480320175 640426900 704469590 845363508 960640350 1056704385 1408939180 1761173975 1921280700 2113408770 3522347950 4226817540 4310073037 5283521925 7044695900 8620146074 10567043850 12930219111 17240292148 21134087700 21550365185 25860438222 43100730370 47410803407 51720876444 64651095555 86201460740 94821606814 107751825925 129302191110 142232410221 189643213628 215503651850 237054017035 258604382220 284464820442 323255477775 431007303700 474108034070 568929640884 646510955550 711162051105 948216068140 1185270085175 1293021911100 1422324102210 2370540170350 2844648204420 3555810255525 4741080340700 7111620511050 14223241022100