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212221300211340 = 22357505288810027
BaseRepresentation
bin110000010000001110011111…
…001101100111111010001100
31000211102011021022002200202120
4300100032133031213322030
5210304013210323230330
62031205041443052540
762462324441151540
oct6020163715477214
91024364238080676
10212221300211340
116169060340a3a2
121b975ab0071150
1391554c8b55784
143a597cc543a20
15198056a3d2c10
hexc1039f367e8c

212221300211340 has 48 divisors (see below), whose sum is σ = 679108160677632. Its totient is φ = 48507725762496.

The previous prime is 212221300211317. The next prime is 212221300211359. The reversal of 212221300211340 is 43112003122212.

212221300211340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 212221300211340.

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, 252644404594 + ... + 252644405433.

It is an arithmetic number, because the mean of its divisors is an integer number (14148086680784).

Almost surely, 2212221300211340 is an apocalyptic number.

212221300211340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212221300211340 is an abundant number, since it is smaller than the sum of its proper divisors (466886860466292).

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

212221300211340 is a wasteful number, since it uses less digits than its factorization.

212221300211340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505288810046 (or 505288810044 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 212221300211340 its reverse (43112003122212), we get a palindrome (255333303333552).

The spelling of 212221300211340 in words is "two hundred twelve trillion, two hundred twenty-one billion, three hundred million, two hundred eleven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 505288810027 1010577620054 1515866430081 2021155240108 2526444050135 3031732860162 3537021670189 5052888100270 6063465720324 7074043340378 7579332150405 10105776200540 10611065010567 14148086680756 15158664300810 17685108350945 21222130021134 30317328601620 35370216701890 42444260042268 53055325052835 70740433403780 106110650105670 212221300211340