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110002110202000 = 245361901656641
BaseRepresentation
bin11001000000101111011100…
…101101000000000010010000
3112102111002200012021011001201
4121000233130231000002100
5103404233310202431000
61025542134412440544
732112250560114142
oct3100573455000220
9472432605234051
10110002110202000
11320606a6507195
1210407190179154
13494c201521ab3
141d241b82c4c92
15cab619ae296a
hex640bdcb40090

110002110202000 has 80 divisors (see below), whose sum is σ = 270345514284144. Its totient is φ = 43279518720000.

The previous prime is 110002110201953. The next prime is 110002110202001. The reversal of 110002110202000 is 202011200011.

It can be written as a sum of positive squares in 8 ways, for example, as 92743602601104 + 17258507600896 = 9630348^2 + 4154336^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (110002110202001) 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 15 ways as a sum of consecutive naturals, for example, 450706321 + ... + 450950320.

Almost surely, 2110002110202000 is an apocalyptic number.

110002110202000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110002110202000 is an abundant number, since it is smaller than the sum of its proper divisors (160343404082144).

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

110002110202000 is an equidigital number, since it uses as much as digits as its factorization.

110002110202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901656725 (or 901656709 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 110002110202000 its reverse (202011200011), we get a palindrome (110204121402011).

The spelling of 110002110202000 in words is "one hundred ten trillion, two billion, one hundred ten million, two hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 61 80 100 122 125 200 244 250 305 400 488 500 610 976 1000 1220 1525 2000 2440 3050 4880 6100 7625 12200 15250 24400 30500 61000 122000 901656641 1803313282 3606626564 4508283205 7213253128 9016566410 14426506256 18033132820 22541416025 36066265640 45082832050 55001055101 72132531280 90165664100 110002110202 112707080125 180331328200 220004220404 225414160250 275005275505 360662656400 440008440808 450828320500 550010551010 880016881616 901656641000 1100021102020 1375026377525 1803313282000 2200042204040 2750052755050 4400084408080 5500105510100 6875131887625 11000211020200 13750263775250 22000422040400 27500527550500 55001055101000 110002110202000