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242120417 = 7211449203
BaseRepresentation
bin11100110111001…
…11011011100001
3121212120222202212
432123213123201
5443440323132
640005251505
75666663300
oct1633473341
9555528685
10242120417
11114741720
1269103b95
133b214026
1424228437
15163c95b2
hexe6e76e1

242120417 has 12 divisors (see below), whose sum is σ = 307255536. Its totient is φ = 188664840.

The previous prime is 242120413. The next prime is 242120503. The reversal of 242120417 is 714021242.

It is not a de Polignac number, because 242120417 - 22 = 242120413 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 242120392 and 242120401.

It is not an unprimeable number, because it can be changed into a prime (242120413) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 224063 + ... + 225140.

It is an arithmetic number, because the mean of its divisors is an integer number (25604628).

Almost surely, 2242120417 is an apocalyptic number.

It is an amenable number.

242120417 is a deficient number, since it is larger than the sum of its proper divisors (65135119).

242120417 is a wasteful number, since it uses less digits than its factorization.

242120417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449228 (or 449221 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 242120417 is about 15560.2190537280. The cubic root of 242120417 is about 623.2713122032.

Adding to 242120417 its reverse (714021242), we get a palindrome (956141659).

The spelling of 242120417 in words is "two hundred forty-two million, one hundred twenty thousand, four hundred seventeen".

Divisors: 1 7 11 49 77 539 449203 3144421 4941233 22010947 34588631 242120417