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212412324013 = 1729430856641
BaseRepresentation
bin1100010111010011000…
…0101101100010101101
3202022021101021002001121
43011310300231202231
511440010023332023
6241325245140541
721226526651401
oct3056460554255
9668241232047
10212412324013
11820a1245a1a
123520055a751
1317051a1b8b6
14a3d0791101
1557d2eded5d
hex3174c2d8ad

212412324013 has 8 divisors (see below), whose sum is σ = 232662586680. Its totient is φ = 193023774720.

The previous prime is 212412323969. The next prime is 212412324077. The reversal of 212412324013 is 310423214212.

212412324013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 78219783684 + 134192540329 = 279678^2 + 366323^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-212412324013 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212412321013) 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 7 ways as a sum of consecutive naturals, for example, 215427828 + ... + 215428813.

It is an arithmetic number, because the mean of its divisors is an integer number (29082823335).

Almost surely, 2212412324013 is an apocalyptic number.

It is an amenable number.

212412324013 is a deficient number, since it is larger than the sum of its proper divisors (20250262667).

212412324013 is a wasteful number, since it uses less digits than its factorization.

212412324013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430856687.

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 212412324013 its reverse (310423214212), we get a palindrome (522835538225).

The spelling of 212412324013 in words is "two hundred twelve billion, four hundred twelve million, three hundred twenty-four thousand, thirteen".

Divisors: 1 17 29 493 430856641 7324562897 12494842589 212412324013