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211012220010212 = 22295051573601001
BaseRepresentation
bin101111111110101000011100…
…011010101011111011100100
31000200010120102102101120111122
4233332220130122223323210
5210124211011310311322
62024441401534153112
762306062344053105
oct5776503432537344
91020116372346448
10211012220010212
1161264864133855
121b7bb6b9652798
1390984a02b99ba
143a170900c83ac
15195dda3477442
hexbfea1c6abee4

211012220010212 has 24 divisors (see below), whose sum is σ = 382005743346360. Its totient is φ = 101867738336000.

The previous prime is 211012220010197. The next prime is 211012220010227. The reversal of 211012220010212 is 212010022210112.

It is an interprime number because it is at equal distance from previous prime (211012220010197) and next prime (211012220010227).

It can be written as a sum of positive squares in 4 ways, for example, as 5704760279296 + 205307459730916 = 2388464^2 + 14328554^2 .

It is a super-2 number, since 2×2110122200102122 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56797712 + ... + 60398712.

It is an arithmetic number, because the mean of its divisors is an integer number (15916905972765).

Almost surely, 2211012220010212 is an apocalyptic number.

It is an amenable number.

211012220010212 is a deficient number, since it is larger than the sum of its proper divisors (170993523336148).

211012220010212 is a wasteful number, since it uses less digits than its factorization.

211012220010212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4106191 (or 4106189 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 211012220010212 its reverse (212010022210112), we get a palindrome (423022242220324).

The spelling of 211012220010212 in words is "two hundred eleven trillion, twelve billion, two hundred twenty million, ten thousand, two hundred twelve".

Divisors: 1 2 4 29 58 116 505157 1010314 2020628 3601001 7202002 14404004 14649553 29299106 58598212 104429029 208858058 417716116 1819070862157 3638141724314 7276283448628 52753055002553 105506110005106 211012220010212