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12420340042 = 2113759258617
BaseRepresentation
bin10111001000100111…
…10101100101001010
31012001121001122111011
423210103311211022
5200414101340132
65412242554134
7616534101625
oct134423654512
935047048434
1012420340042
1152a3a5a340
1224a766894a
13122c278246
1485b798dbc
154ca600b47
hex2e44f594a

12420340042 has 32 divisors (see below), whose sum is σ = 21227365440. Its totient is φ = 5399902080.

The previous prime is 12420340021. The next prime is 12420340091. The reversal of 12420340042 is 24004302421.

It is a happy number.

12420340042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 12420339995 and 12420340022.

It is an unprimeable number.

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, 81283 + ... + 177334.

It is an arithmetic number, because the mean of its divisors is an integer number (663355170).

Almost surely, 212420340042 is an apocalyptic number.

12420340042 is a deficient number, since it is larger than the sum of its proper divisors (8807025398).

12420340042 is a wasteful number, since it uses less digits than its factorization.

12420340042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258726.

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 12420340042 its reverse (24004302421), we get a palindrome (36424642463).

The spelling of 12420340042 in words is "twelve billion, four hundred twenty million, three hundred forty thousand, forty-two".

Divisors: 1 2 11 22 37 59 74 118 407 649 814 1298 2183 4366 24013 48026 258617 517234 2844787 5689574 9568829 15258403 19137658 30516806 105257119 167842433 210514238 335684866 564560911 1129121822 6210170021 12420340042