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2310103342112 = 252361215323899
BaseRepresentation
bin100001100111011100111…
…000111001110000100000
322011211210001222211120012
4201213130320321300200
5300322042423421422
64525125151504052
7325620341264336
oct41473470716040
98154701884505
102310103342112
118107891265a5
12313868b28028
13139ac35c4207
147db49775b56
154015765e4e2
hex219dce39c20

2310103342112 has 96 divisors (see below), whose sum is σ = 4825997366400. Its totient is φ = 1086169835520.

The previous prime is 2310103342093. The next prime is 2310103342171. The reversal of 2310103342112 is 2112433010132.

It is a super-2 number, since 2×23101033421122 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96649139 + ... + 96673037.

It is an arithmetic number, because the mean of its divisors is an integer number (50270805900).

Almost surely, 22310103342112 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 2310103342112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2412998683200).

2310103342112 is an abundant number, since it is smaller than the sum of its proper divisors (2515894024288).

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

2310103342112 is a wasteful number, since it uses less digits than its factorization.

2310103342112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26146 (or 26138 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 2310103342112 its reverse (2112433010132), we get a palindrome (4422536352244).

The spelling of 2310103342112 in words is "two trillion, three hundred ten billion, one hundred three million, three hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 23 32 46 61 92 122 184 244 368 488 736 976 1403 1952 2153 2806 4306 5612 8612 11224 17224 22448 23899 34448 44896 47798 49519 68896 95596 99038 131333 191192 198076 262666 382384 396152 525332 549677 764768 792304 1050664 1099354 1457839 1584608 2101328 2198708 2915678 3020659 4202656 4397416 5831356 6041318 8794832 11662712 12082636 17589664 23325424 24165272 33530297 46650848 48330544 51454547 67060594 96661088 102909094 134121188 205818188 268242376 411636376 536484752 823272752 1072969504 1183454581 1646545504 2366909162 3138727367 4733818324 6277454734 9467636648 12554909468 18935273296 25109818936 37870546592 50219637872 72190729441 100439275744 144381458882 288762917764 577525835528 1155051671056 2310103342112