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242313021 = 3226923669
BaseRepresentation
bin11100111000101…
…10011100111101
3121212221202222100
432130112130331
5444013004041
640013335313
76001424646
oct1634263475
9555852870
10242313021
111148633a5
1269197539
133b2808b2
14242786cd
15164166b6
hexe71673d

242313021 has 6 divisors (see below), whose sum is σ = 350007710. Its totient is φ = 161542008.

The previous prime is 242313017. The next prime is 242313047. The reversal of 242313021 is 120313242.

It can be written as a sum of positive squares in only one way, i.e., 134444025 + 107868996 = 11595^2 + 10386^2 .

It is not a de Polignac number, because 242313021 - 22 = 242313017 is a prime.

It is a super-2 number, since 2×2423130212 = 117431200292292882, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 242312985 and 242313003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242363021) 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 5 ways as a sum of consecutive naturals, for example, 13461826 + ... + 13461843.

Almost surely, 2242313021 is an apocalyptic number.

It is an amenable number.

242313021 is a deficient number, since it is larger than the sum of its proper divisors (107694689).

242313021 is a wasteful number, since it uses less digits than its factorization.

242313021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26923675 (or 26923672 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 242313021 is about 15566.4068108218. The cubic root of 242313021 is about 623.4365367803.

Adding to 242313021 its reverse (120313242), we get a palindrome (362626263).

The spelling of 242313021 in words is "two hundred forty-two million, three hundred thirteen thousand, twenty-one".

Divisors: 1 3 9 26923669 80771007 242313021