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112311310112322 = 231741532239226313
BaseRepresentation
bin11001100010010110000011…
…101111100101011001000010
3112201122212010022021220012020
4121202112003233211121002
5104210102030342043242
61034511034212542310
732441136651360546
oct3142260357453102
9481585108256166
10112311310112322
1132870a60677042
121071a826621996
134a88bac8ba589
141da3c79a89a26
15ceb71cc986ec
hex662583be5642

112311310112322 has 128 divisors (see below), whose sum is σ = 248345468743680. Its totient is φ = 33711725199360.

The previous prime is 112311310112303. The next prime is 112311310112357. The reversal of 112311310112322 is 223211013113211.

It is a super-2 number, since 2×1123113101123222 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112311310112292 and 112311310112301.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 496152238 + ... + 496378550.

It is an arithmetic number, because the mean of its divisors is an integer number (1940198974560).

Almost surely, 2112311310112322 is an apocalyptic number.

112311310112322 is an abundant number, since it is smaller than the sum of its proper divisors (136034158631358).

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

112311310112322 is a wasteful number, since it uses less digits than its factorization.

112311310112322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228668.

The product of its (nonzero) digits is 432, while the sum is 24.

Adding to 112311310112322 its reverse (223211013113211), we get a palindrome (335522323225533).

The spelling of 112311310112322 in words is "one hundred twelve trillion, three hundred eleven billion, three hundred ten million, one hundred twelve thousand, three hundred twenty-two".

Divisors: 1 2 3 6 17 34 41 51 53 82 102 106 123 159 246 318 697 901 1394 1802 2091 2173 2239 2703 4182 4346 4478 5406 6519 6717 13038 13434 36941 38063 73882 76126 91799 110823 114189 118667 183598 221646 226313 228378 237334 275397 356001 452626 550794 678939 712002 1357878 1560583 2017339 3121166 3847321 4034678 4681749 4865347 6052017 7694642 9278833 9363498 9730694 11541963 11994589 12104034 14596041 18557666 23083926 23989178 27836499 29192082 35983767 55672998 71967534 82710899 157740161 165421798 203908013 248132697 315480322 407816026 473220483 491778149 496265394 506714807 611724039 946440966 983556298 1013429614 1223448078 1475334447 1520144421 2950668894 3040288842 8360228533 8614151719 16720457066 17228303438 20775307087 25080685599 25842455157 26855884771 41550614174 50161371198 51684910314 53711769542 62325921261 80567654313 124651842522 161135308626 353180220479 456550041107 706360440958 913100082214 1059540661437 1101091275611 1369650123321 2119081322874 2202182551222 2739300246642 3303273826833 6606547653666 18718551685387 37437103370774 56155655056161 112311310112322