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112313213243231 = 721121317557153887
BaseRepresentation
bin11001100010010111110101…
…001011011100111101011111
3112201200001000221100222000012
4121202113311023130331133
5104210114430042240411
61034511551115353435
732441235060620300
oct3142276513347537
9481601027328005
10112313213243231
1132871847970500
121071b077a5287b
134a89123c79240
141da3dba72a7a7
15ceb7cedc418b
hex6625f52dcf5f

112313213243231 has 144 divisors (see below), whose sum is σ = 164046130875648. Its totient is φ = 75895688816640.

The previous prime is 112313213243227. The next prime is 112313213243233. The reversal of 112313213243231 is 132342312313211.

It is a happy number.

It is not a de Polignac number, because 112313213243231 - 22 = 112313213243227 is a prime.

It is a super-2 number, since 2×1123132132432312 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112313213243233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 729765170 + ... + 729919056.

It is an arithmetic number, because the mean of its divisors is an integer number (1139209242192).

Almost surely, 2112313213243231 is an apocalyptic number.

112313213243231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

112313213243231 is a deficient number, since it is larger than the sum of its proper divisors (51732917632417).

112313213243231 is a wasteful number, since it uses less digits than its factorization.

112313213243231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154510 (or 154492 counting only the distinct ones).

The product of its digits is 15552, while the sum is 32.

Adding to 112313213243231 its reverse (132342312313211), we get a palindrome (244655525556442).

The spelling of 112313213243231 in words is "one hundred twelve trillion, three hundred thirteen billion, two hundred thirteen million, two hundred forty-three thousand, two hundred thirty-one".

Divisors: 1 7 11 13 17 49 77 91 119 121 143 187 221 539 557 637 833 847 1001 1309 1547 1573 2057 2431 3899 5929 6127 7007 7241 9163 9469 10829 11011 14399 17017 26741 27293 42889 50687 66283 67397 77077 79651 100793 104159 119119 123097 153887 187187 300223 354809 463981 471779 557557 729113 861679 876161 1077209 1145749 1310309 1354067 1692757 2000531 2616079 3302453 3902899 5103791 6031753 6133127 7540463 8020243 9478469 11849299 14003717 14894737 18312553 18620327 22005841 28776869 34009027 42931889 56141701 66349283 82945093 85715059 98026019 104263159 128187871 130342289 154040887 201438083 238063189 242064251 316545559 374099297 600005413 729842113 912396023 942865649 1078286209 1114295767 1410066581 1457156003 1666442323 1694449757 2215818913 2618695079 4115092267 4200037891 6600059543 7800070369 10200092021 10371522139 11861148299 12257253437 15510732391 16028716033 18330865553 18943028039 28805645869 46200416801 54600492583 71400644147 72600654973 85800774059 112201012231 132601196273 134829787807 176315876363 201639521083 208373308429 508204584811 600605418413 785407085617 928208373911 943808514649 1234211134541 1458613159003 2292106392719 6606659602543 8639477941787 10210292113021 16044744749033 112313213243231