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242112321 = 3511531709
BaseRepresentation
bin11100110111001…
…01011101000001
3121212120120200000
432123211131001
5443440043241
640005150213
75666630553
oct1633453501
9555516600
10242112321
11114736630
12690bb369
133b210439
14242254d3
15163c6eb6
hexe6e5741

242112321 has 48 divisors (see below), whose sum is σ = 403341120. Its totient is φ = 143881920.

The previous prime is 242112313. The next prime is 242112359. The reversal of 242112321 is 123211242.

It is a happy number.

It is not a de Polignac number, because 242112321 - 23 = 242112313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 242112294 and 242112303.

It is not an unprimeable number, because it can be changed into a prime (242112361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140815 + ... + 142523.

It is an arithmetic number, because the mean of its divisors is an integer number (8402940).

Almost surely, 2242112321 is an apocalyptic number.

It is an amenable number.

242112321 is a deficient number, since it is larger than the sum of its proper divisors (161228799).

242112321 is a wasteful number, since it uses less digits than its factorization.

242112321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1788 (or 1776 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 242112321 is about 15559.9589009740. The cubic root of 242112321 is about 623.2643651630.

Adding to 242112321 its reverse (123211242), we get a palindrome (365323563).

The spelling of 242112321 in words is "two hundred forty-two million, one hundred twelve thousand, three hundred twenty-one".

Divisors: 1 3 9 11 27 33 53 81 99 159 243 297 477 583 891 1431 1709 1749 2673 4293 5127 5247 12879 15381 15741 18799 46143 47223 56397 90577 138429 141669 169191 271731 415287 507573 815193 996347 1522719 2445579 2989041 4568157 7336737 8967123 22010211 26901369 80704107 242112321