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2110341010000 = 24541213173977
BaseRepresentation
bin11110101101011010001…
…000000101001001010000
321110202011021220221010011
4132231122020011021100
5234033434244310000
64253251031444304
7305316134420536
oct36553210051120
97422137827104
102110341010000
11743a99535843
122a0bb8b26694
131240095ba532
14741d9080156
1539d64ed52ba
hex1eb5a205250

2110341010000 has 100 divisors (see below), whose sum is σ = 5113588168612. Its totient is φ = 843435648000.

The previous prime is 2110341009977. The next prime is 2110341010009. The reversal of 2110341010000 is 101430112.

It can be written as a sum of positive squares in 10 ways, for example, as 1944864533056 + 165476476944 = 1394584^2 + 406788^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2110341010009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12043012 + ... + 12216988.

Almost surely, 22110341010000 is an apocalyptic number.

2110341010000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2110341010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2556794084306).

2110341010000 is an abundant number, since it is smaller than the sum of its proper divisors (3003247158612).

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

2110341010000 is a wasteful number, since it uses less digits than its factorization.

2110341010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175218 (or 175197 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 2110341010000 its reverse (101430112), we get a palindrome (2110442440112).

The spelling of 2110341010000 in words is "two trillion, one hundred ten billion, three hundred forty-one million, ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1213 1250 2000 2426 2500 4852 5000 6065 9704 10000 12130 19408 24260 30325 48520 60650 97040 121300 151625 173977 242600 303250 347954 485200 606500 695908 758125 869885 1213000 1391816 1516250 1739770 2426000 2783632 3032500 3479540 4349425 6065000 6959080 8698850 12130000 13918160 17397700 21747125 34795400 43494250 69590800 86988500 108735625 173977000 211034101 217471250 347954000 422068202 434942500 844136404 869885000 1055170505 1688272808 1739770000 2110341010 3376545616 4220682020 5275852525 8441364040 10551705050 16882728080 21103410100 26379262625 42206820200 52758525250 84413640400 105517050500 131896313125 211034101000 263792626250 422068202000 527585252500 1055170505000 2110341010000