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111310112311321 = 72114147313342389
BaseRepresentation
bin11001010011110001100111…
…101101000100100000011001
3112121010010212002222212122011
4121103301213231010200121
5104042201102222430241
61032423054253225521
732305614230442400
oct3123614755044031
9477103762885564
10111310112311321
1132515398607570
121059878b4922a1
134a1566341a461
141d6b61c526637
15cd06712cd281
hex653c67b44819

111310112311321 has 96 divisors (see below), whose sum is σ = 148250903754240. Its totient is φ = 82554403276800.

The previous prime is 111310112311289. The next prime is 111310112311351. The reversal of 111310112311321 is 123113211013111.

It is a happy number.

It is not a de Polignac number, because 111310112311321 - 25 = 111310112311289 is a prime.

It is a super-2 number, since 2×1113101123113212 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 111310112311292 and 111310112311301.

It is not an unprimeable number, because it can be changed into a prime (111310112311351) 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, 324927195 + ... + 325269583.

It is an arithmetic number, because the mean of its divisors is an integer number (1544280247440).

Almost surely, 2111310112311321 is an apocalyptic number.

111310112311321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

111310112311321 is a deficient number, since it is larger than the sum of its proper divisors (36940791442919).

111310112311321 is a wasteful number, since it uses less digits than its factorization.

111310112311321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342815 (or 342808 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 22.

Adding to 111310112311321 its reverse (123113211013111), we get a palindrome (234423323324432).

The spelling of 111310112311321 in words is "one hundred eleven trillion, three hundred ten billion, one hundred twelve million, three hundred eleven thousand, three hundred twenty-one".

Divisors: 1 7 11 41 47 49 77 287 313 329 451 517 539 1927 2009 2191 2303 3157 3443 3619 12833 13489 14711 15337 21197 22099 24101 25333 89831 94423 102977 141163 148379 161821 168707 342389 603151 628817 720839 988141 1038653 1132747 2396723 3766279 4222057 6634661 6916987 7929229 14037949 16092283 16777061 26363953 29554399 46442627 98265643 107167757 112645981 154417439 177015113 184547671 325098389 659783603 687859501 750174299 788521867 1080922073 1178845327 1239105791 4393878037 4618485221 5036884579 5251220093 7257619633 7566454511 8251917289 8673740537 30757146259 32329396547 35258192053 48332658407 50803337431 55405730369 57763421023 206512267739 215300023813 246807344371 338328608849 355623362017 387840112583 1445585874173 2271634945129 2368300261943 2714880788081 10119101119211 15901444615903 111310112311321