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242110104131 = 7417993105541
BaseRepresentation
bin1110000101111011100…
…0110000001001000011
3212010221001212121200202
43201132320300021003
512431320141313011
6303120203435415
723330466633620
oct3413670601103
9763831777622
10242110104131
1193750929755
123ab0a225b6b
1319aa55b965c
14ba0aa09347
15647031c23b
hex385ee30243

242110104131 has 16 divisors (see below), whose sum is σ = 283484123328. Its totient is φ = 202434163200.

The previous prime is 242110104107. The next prime is 242110104179. The reversal of 242110104131 is 131401011242.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-242110104131 is a prime.

It is a super-3 number, since 3×2421101041313 (a number of 35 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 (242110104631) 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 15 ways as a sum of consecutive naturals, for example, 2241221 + ... + 2346761.

It is an arithmetic number, because the mean of its divisors is an integer number (17717757708).

Almost surely, 2242110104131 is an apocalyptic number.

242110104131 is a deficient number, since it is larger than the sum of its proper divisors (41374019197).

242110104131 is a wasteful number, since it uses less digits than its factorization.

242110104131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113582.

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 242110104131 its reverse (131401011242), we get a palindrome (373511115373).

The spelling of 242110104131 in words is "two hundred forty-two billion, one hundred ten million, one hundred four thousand, one hundred thirty-one".

Divisors: 1 7 41 287 7993 55951 105541 327713 738787 2293991 4327181 30290267 843589213 5905124491 34587157733 242110104131