Search a number
-
+
212011000220000 = 255411519209861
BaseRepresentation
bin110000001101001010101000…
…010110110100100101100000
31000210200001110010120020101102
4300031022220112310211200
5210242042012024020000
62030524301532253532
762441201140550342
oct6015125026644540
91023601403506342
10212011000220000
116160a3a6566263
121b94119b0112a8
13913b722952287
143a4d55c52d292
151979d5ca943d5
hexc0d2a85b4960

212011000220000 has 120 divisors (see below), whose sum is σ = 522032071663872. Its totient is φ = 84730712000000.

The previous prime is 212011000219999. The next prime is 212011000220039. The reversal of 212011000220000 is 22000110212.

It is a happy number.

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 18415070 + ... + 27624930.

Almost surely, 2212011000220000 is an apocalyptic number.

212011000220000 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 212011000220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261016035831936).

212011000220000 is an abundant number, since it is smaller than the sum of its proper divisors (310021071443872).

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

212011000220000 is an equidigital number, since it uses as much as digits as its factorization.

212011000220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9211042 (or 9211019 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 212011000220000 its reverse (22000110212), we get a palindrome (212033000330212).

The spelling of 212011000220000 in words is "two hundred twelve trillion, eleven billion, two hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1151 1250 2000 2302 2500 4000 4604 5000 5755 9208 10000 11510 18416 20000 23020 28775 36832 46040 57550 92080 115100 143875 184160 230200 287750 460400 575500 719375 920800 1151000 1438750 2302000 2877500 4604000 5755000 9209861 11510000 18419722 23020000 36839444 46049305 73678888 92098610 147357776 184197220 230246525 294715552 368394440 460493050 736788880 920986100 1151232625 1473577760 1841972200 2302465250 3683944400 4604930500 5756163125 7367888800 9209861000 10600550011 11512326250 18419722000 21201100022 23024652500 36839444000 42402200044 46049305000 53002750055 84804400088 92098610000 106005500110 169608800176 184197220000 212011000220 265013750275 339217600352 424022000440 530027500550 848044000880 1060055001100 1325068751375 1696088001760 2120110002200 2650137502750 4240220004400 5300275005500 6625343756875 8480440008800 10600550011000 13250687513750 21201100022000 26501375027500 42402200044000 53002750055000 106005500110000 212011000220000