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242130113 = 2813532441
BaseRepresentation
bin11100110111010…
…01110011000001
3121212121111001222
432123221303001
5443441130423
640005404425
76000033461
oct1633516301
9555544058
10242130113
11114748a35
1269109715
133b218574
142422bba1
15163cc3c8
hexe6e9cc1

242130113 has 8 divisors (see below), whose sum is σ = 243779976. Its totient is φ = 240486400.

The previous prime is 242130103. The next prime is 242130121. The reversal of 242130113 is 311031242.

It can be written as a sum of positive squares in 4 ways, for example, as 9628609 + 232501504 = 3103^2 + 15248^2 .

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 242130113 - 28 = 242129857 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 242130091 and 242130100.

It is not an unprimeable number, because it can be changed into a prime (242130103) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97973 + ... + 100413.

It is an arithmetic number, because the mean of its divisors is an integer number (30472497).

Almost surely, 2242130113 is an apocalyptic number.

It is an amenable number.

242130113 is a deficient number, since it is larger than the sum of its proper divisors (1649863).

242130113 is a wasteful number, since it uses less digits than its factorization.

242130113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3075.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 242130113 is about 15560.5306143460. The cubic root of 242130113 is about 623.2796319724.

Adding to 242130113 its reverse (311031242), we get a palindrome (553161355).

The spelling of 242130113 in words is "two hundred forty-two million, one hundred thirty thousand, one hundred thirteen".

Divisors: 1 281 353 2441 99193 685921 861673 242130113