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110102221222112 = 2573151533076991
BaseRepresentation
bin11001000010001100101011…
…110010001111000011100000
3112102211200002002210220021102
4121002030223302033003200
5103412403322113101422
61030100132343213532
732122423452543350
oct3102145362170340
9472750062726242
10110102221222112
113209a0a9580349
121042266b1472a8
134958797032cc2
141d28d93da4b60
15cae02895c192
hex64232bc8f0e0

110102221222112 has 96 divisors (see below), whose sum is σ = 255770996834304. Its totient is φ = 45655639142400.

The previous prime is 110102221222109. The next prime is 110102221222163. The reversal of 110102221222112 is 211222122201011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34243937 + ... + 37320927.

It is an arithmetic number, because the mean of its divisors is an integer number (2664281217024).

Almost surely, 2110102221222112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110102221222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127885498417152).

110102221222112 is an abundant number, since it is smaller than the sum of its proper divisors (145668775612192).

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

110102221222112 is a wasteful number, since it uses less digits than its factorization.

110102221222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3082192 (or 3082184 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 110102221222112 its reverse (211222122201011), we get a palindrome (321324343423123).

The spelling of 110102221222112 in words is "one hundred ten trillion, one hundred two billion, two hundred twenty-one million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 217 224 248 434 496 868 992 1736 3472 5153 6944 10306 20612 36071 41224 72142 82448 144284 159743 164896 288568 319486 577136 638972 1118201 1154272 1277944 2236402 2555888 3076991 4472804 5111776 6153982 8945608 12307964 17891216 21538937 24615928 35782432 43077874 49231856 86155748 95386721 98463712 172311496 190773442 344622992 381546884 667707047 689245984 763093768 1335414094 1526187536 2670828188 3052375072 5341656376 10683312752 15855734623 21366625504 31711469246 63422938492 110990142361 126845876984 221980284722 253691753968 443960569444 491527773313 507383507936 887921138888 983055546626 1775842277776 1966111093252 3440694413191 3551684555552 3932222186504 6881388826382 7864444373008 13762777652764 15728888746016 27525555305528 55051110611056 110102221222112