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61412303110212 = 22327293723388641
BaseRepresentation
bin11011111011010101010101…
…00000110000000001000100
322001102221212222212001211200
431331222222200300001010
531022134344044011322
6334340231135302500
715635615056334445
oct1575525240600104
9261387788761750
1061412303110212
11186278a20aa17a
126a7a14807aa30
132836203366522
14112452ad032cc
1571771cda88ac
hex37daaa830044

61412303110212 has 36 divisors (see below), whose sum is σ = 155238790087836. Its totient is φ = 20470486164480.

The previous prime is 61412303110127. The next prime is 61412303110219. The reversal of 61412303110212 is 21201130321416.

61412303110212 is a `hidden beast` number, since 6 + 1 + 412 + 3 + 0 + 31 + 1 + 0 + 212 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 37112293424196 + 24300009686016 = 6091986^2 + 4929504^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (61412303110219) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 9068589 + ... + 14320052.

It is an arithmetic number, because the mean of its divisors is an integer number (4312188613551).

Almost surely, 261412303110212 is an apocalyptic number.

It is an amenable number.

61412303110212 is an abundant number, since it is smaller than the sum of its proper divisors (93826486977624).

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

61412303110212 is a wasteful number, since it uses less digits than its factorization.

61412303110212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23461588 (or 23461583 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 61412303110212 its reverse (21201130321416), we get a palindrome (82613433431628).

The spelling of 61412303110212 in words is "sixty-one trillion, four hundred twelve billion, three hundred three million, one hundred ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 72937 145874 218811 291748 437622 656433 875244 1312866 2625732 23388641 46777282 70165923 93554564 140331846 210497769 280663692 420995538 841991076 1705897308617 3411794617234 5117691925851 6823589234468 10235383851702 15353075777553 20470767703404 30706151555106 61412303110212