Search a number
-
+
42242320131 = 3114131221227
BaseRepresentation
bin100111010101110101…
…101010011100000011
311001000221101012110020
4213111311222130003
51143003013221011
631223355304523
73023542540164
oct472565523403
9131027335406
1042242320131
1116a07763380
12822aa4b143
133ca27b07cb
14208a30376b
1511737b3006
hex9d5d6a703

42242320131 has 16 divisors (see below), whose sum is σ = 62941995648. Its totient is φ = 24976980800.

The previous prime is 42242320123. The next prime is 42242320187. The reversal of 42242320131 is 13102324224.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 42242320131 - 23 = 42242320123 is a prime.

It is a super-3 number, since 3×422423201313 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (42242320031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15609261 + ... + 15611966.

It is an arithmetic number, because the mean of its divisors is an integer number (3933874728).

Almost surely, 242242320131 is an apocalyptic number.

42242320131 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

42242320131 is a deficient number, since it is larger than the sum of its proper divisors (20699675517).

42242320131 is a wasteful number, since it uses less digits than its factorization.

42242320131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31221282.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 42242320131 its reverse (13102324224), we get a palindrome (55344644355).

The spelling of 42242320131 in words is "forty-two billion, two hundred forty-two million, three hundred twenty thousand, one hundred thirty-one".

Divisors: 1 3 11 33 41 123 451 1353 31221227 93663681 343433497 1030300491 1280070307 3840210921 14080773377 42242320131