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242113365 = 32513413869
BaseRepresentation
bin11100110111001…
…01101101010101
3121212120122002200
432123211231111
5443440111430
640005155113
75666633604
oct1633455525
9555518080
10242113365
1111473739a
12690bba99
133b210a60
1424225a3b
15163c7460
hexe6e5b55

242113365 has 24 divisors (see below), whose sum is σ = 451946040. Its totient is φ = 119193984.

The previous prime is 242113321. The next prime is 242113367. The reversal of 242113365 is 563311242.

It can be written as a sum of positive squares in 4 ways, for example, as 33108516 + 209004849 = 5754^2 + 14457^2 .

It is not a de Polignac number, because 242113365 - 212 = 242109269 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242113367) 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 23 ways as a sum of consecutive naturals, for example, 206350 + ... + 207519.

It is an arithmetic number, because the mean of its divisors is an integer number (18831085).

Almost surely, 2242113365 is an apocalyptic number.

It is an amenable number.

242113365 is a deficient number, since it is larger than the sum of its proper divisors (209832675).

242113365 is a wasteful number, since it uses less digits than its factorization.

242113365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413893 (or 413890 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 242113365 is about 15559.9924485843. The cubic root of 242113365 is about 623.2652610104.

The spelling of 242113365 in words is "two hundred forty-two million, one hundred thirteen thousand, three hundred sixty-five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 413869 1241607 2069345 3724821 5380297 6208035 16140891 18624105 26901485 48422673 80704455 242113365