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242013312411 = 31347612164447
BaseRepresentation
bin1110000101100100011…
…1100001010110011011
3212010200022202002102020
43201121013201112123
512431120401444121
6303102425105523
723325213133203
oct3413107412633
9763608662366
10242013312411
11937012296a2
123aaa19282a3
1319a8b52a250
14b9dbc11403
156466a9d1c6
hex38591e159b

242013312411 has 32 divisors (see below), whose sum is σ = 360718245888. Its totient is φ = 143372903040.

The previous prime is 242013312371. The next prime is 242013312433. The reversal of 242013312411 is 114213310242.

242013312411 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 242013312411 - 225 = 241979757979 is a prime.

It is a super-3 number, since 3×2420133124113 (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (242013312481) 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 31 ways as a sum of consecutive naturals, for example, 970411 + ... + 1194036.

It is an arithmetic number, because the mean of its divisors is an integer number (11272445184).

Almost surely, 2242013312411 is an apocalyptic number.

242013312411 is a deficient number, since it is larger than the sum of its proper divisors (118704933477).

242013312411 is a wasteful number, since it uses less digits than its factorization.

242013312411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2164571.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 242013312411 its reverse (114213310242), we get a palindrome (356226622653).

The spelling of 242013312411 in words is "two hundred forty-two billion, thirteen million, three hundred twelve thousand, four hundred eleven".

Divisors: 1 3 13 39 47 61 141 183 611 793 1833 2379 2867 8601 37271 111813 2164447 6493341 28137811 84413433 101729009 132031267 305187027 396093801 1322477117 1716406471 3967431351 5149219413 6205469549 18616408647 80671104137 242013312411