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212413300241 = 415354996749
BaseRepresentation
bin1100010111010011010…
…0011011111000010001
3202022021110002200012012
43011310310123320101
511440010301101431
6241325322112305
721226541155502
oct3056464337021
9668243080165
10212413300241
11820a185241a
123520094b695
1317051ca104c
14a3d0966ba9
1557d313422b
hex3174d1be11

212413300241 has 8 divisors (see below), whose sum is σ = 217600425000. Its totient is φ = 207226476160.

The previous prime is 212413300237. The next prime is 212413300321. The reversal of 212413300241 is 142003314212.

212413300241 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 25969216 + 212387331025 = 5096^2 + 460855^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 212413300241 - 22 = 212413300237 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (212413800241) 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, 2147135 + ... + 2243883.

It is an arithmetic number, because the mean of its divisors is an integer number (27200053125).

Almost surely, 2212413300241 is an apocalyptic number.

It is an amenable number.

212413300241 is a deficient number, since it is larger than the sum of its proper divisors (5187124759).

212413300241 is an equidigital number, since it uses as much as digits as its factorization.

212413300241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150339.

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 212413300241 its reverse (142003314212), we get a palindrome (354416614453).

The spelling of 212413300241 in words is "two hundred twelve billion, four hundred thirteen million, three hundred thousand, two hundred forty-one".

Divisors: 1 41 53549 96749 2195509 3966709 5180812201 212413300241