Search a number
-
+
224033340301113 = 37234987712833881
BaseRepresentation
bin110010111100000111010011…
…101010101001111100111001
31002101020101012200110001020110
4302330013103222221330321
5213331030240104113423
62112251255024014533
765121606010254600
oct6274072352517471
91071211180401213
10224033340301113
1165425008076712
12211631b4461449
13980133a786365
143d473b30d6a37
151ad794bdbd193
hexcbc1d3aa9f39

224033340301113 has 96 divisors (see below), whose sum is σ = 349235161027200. Its totient is φ = 127374469125120.

The previous prime is 224033340300899. The next prime is 224033340301129. The reversal of 224033340301113 is 311103043330422.

It is not a de Polignac number, because 224033340301113 - 214 = 224033340284729 is a prime.

It is a super-3 number, since 3×2240333403011133 (a number of 44 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (224033340301163) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57725671933 + ... + 57725675813.

It is an arithmetic number, because the mean of its divisors is an integer number (3637866260700).

Almost surely, 2224033340301113 is an apocalyptic number.

It is an amenable number.

224033340301113 is a deficient number, since it is larger than the sum of its proper divisors (125201820726087).

224033340301113 is a wasteful number, since it uses less digits than its factorization.

224033340301113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6407 (or 6400 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 224033340301113 its reverse (311103043330422), we get a palindrome (535136383631535).

The spelling of 224033340301113 in words is "two hundred twenty-four trillion, thirty-three billion, three hundred forty million, three hundred one thousand, one hundred thirteen".

Divisors: 1 3 7 21 49 147 349 877 1047 1283 2443 2631 3849 3881 6139 7329 8981 11643 17101 18417 26943 27167 42973 51303 62867 81501 128919 188601 190169 306073 447767 570507 918219 1125191 1343301 1354469 2142511 3134369 3375573 3403637 4063407 4979323 6427533 7876337 9403107 9481283 10210911 14937969 14997577 21940583 23629011 23825459 28443849 34855261 44992731 55134359 65821749 66368981 71476377 104565783 165403077 166778213 199106943 243986827 392691659 500334639 731960481 1178074977 1187869313 1737783727 2748841613 3563607939 4366866271 5213351181 8246524839 8315085191 12164486089 13100598813 19241891291 24945255573 30568063897 36493458267 57725673873 58205596337 85151402623 91704191691 174616789011 213976447279 255454207869 641929341837 1524036328579 4572108985737 10668254300053 32004762900159 74677780100371 224033340301113