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242264121 = 31141179057
BaseRepresentation
bin11100111000010…
…10100000111001
3121212212021220020
432130022200321
5444004422441
640012321053
76001132251
oct1634124071
9555767806
10242264121
1111482a690
1269173189
133b264568
1424264961
1516406e66
hexe70a839

242264121 has 16 divisors (see below), whose sum is σ = 360980928. Its totient is φ = 143244800.

The previous prime is 242264119. The next prime is 242264147. The reversal of 242264121 is 121462242.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 242264121 - 21 = 242264119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 242264091 and 242264100.

It is not an unprimeable number, because it can be changed into a prime (242264111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88176 + ... + 90881.

It is an arithmetic number, because the mean of its divisors is an integer number (22561308).

Almost surely, 2242264121 is an apocalyptic number.

It is an amenable number.

242264121 is a deficient number, since it is larger than the sum of its proper divisors (118716807).

242264121 is a wasteful number, since it uses less digits than its factorization.

242264121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179112.

The product of its digits is 1536, while the sum is 24.

The square root of 242264121 is about 15564.8360415393. The cubic root of 242264121 is about 623.3945964043.

The spelling of 242264121 in words is "two hundred forty-two million, two hundred sixty-four thousand, one hundred twenty-one".

Divisors: 1 3 11 33 41 123 451 1353 179057 537171 1969627 5908881 7341337 22024011 80754707 242264121