Search a number
-
+
41122313300221 = 19233143734212297
BaseRepresentation
bin10010101100110100010001…
…11000000110100011111101
312101121020212201101212121221
421112122020320012203331
520342221444201101341
6223243155133153341
711442663154512466
oct1126321070064375
9171536781355557
1041122313300221
111211496988a84a
12474194362b851
1319c3a8209b55a
14a2248b199d6d
154b4a44585ed1
hex256688e068fd

41122313300221 has 128 divisors (see below), whose sum is σ = 48499592232960. Its totient is φ = 34643311718400.

The previous prime is 41122313300179. The next prime is 41122313300227. The reversal of 41122313300221 is 12200331322114.

It is a cyclic number.

It is not a de Polignac number, because 41122313300221 - 223 = 41122304911613 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41122313300227) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17902616745 + ... + 17902619041.

It is an arithmetic number, because the mean of its divisors is an integer number (378903064320).

Almost surely, 241122313300221 is an apocalyptic number.

It is an amenable number.

41122313300221 is a deficient number, since it is larger than the sum of its proper divisors (7377278932739).

41122313300221 is a wasteful number, since it uses less digits than its factorization.

41122313300221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2907.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 41122313300221 its reverse (12200331322114), we get a palindrome (53322644622335).

The spelling of 41122313300221 in words is "forty-one trillion, one hundred twenty-two billion, three hundred thirteen million, three hundred thousand, two hundred twenty-one".

Divisors: 1 19 23 31 43 73 421 437 589 713 817 989 1333 1387 1679 2263 2297 3139 7999 9683 13051 13547 18103 18791 25327 30659 30733 31901 42997 43643 52049 52831 59641 71207 72197 97309 98771 167681 183977 247969 300173 343957 416369 561193 582521 583927 706859 952723 967037 988931 1003789 1321519 1352933 1371743 1637761 1848871 1876649 2238107 2271733 3061901 3185939 3856663 5198111 5703287 7210283 7911011 10662667 12907439 13430321 18101737 18373703 21912629 22241851 25108861 29978147 30394937 31117459 40967089 41582591 42524033 43162927 58176119 70423723 70593701 73276597 98764109 119556553 136995377 165836509 223518773 245241341 416339951 422595169 569584793 577503803 689497381 778374691 790069229 942243047 956399593 1289060321 1338050737 1341280319 1623655123 2188404731 2271574507 3035529143 3150893671 4246856687 5140931779 13100450239 17902617893 18171592267 24492146099 29648387383 30849447337 41579689889 50333308813 57675053717 69817170289 94101403433 97677703801 563319360277 956332867447 1326526235491 1787926665227 2164332278959 41122313300221