Search a number
-
+
242300034130 = 25711417675009
BaseRepresentation
bin1110000110101000110…
…1010001110001010010
3212011102022021001200011
43201222031101301102
512432212302043010
6303151110345134
723335264210450
oct3415215216122
9764368231604
10242300034130
11938390639a0
123ab6195b1aa
1319b05a5927b
14ba27d299d0
156481d37a8a
hex386a351c52

242300034130 has 64 divisors (see below), whose sum is σ = 557021525760. Its totient is φ = 73680076800.

The previous prime is 242300033977. The next prime is 242300034133. The reversal of 242300034130 is 31430003242.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (242300034133) 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 31 ways as a sum of consecutive naturals, for example, 3805935 + ... + 3869074.

It is an arithmetic number, because the mean of its divisors is an integer number (8703461340).

Almost surely, 2242300034130 is an apocalyptic number.

242300034130 is an abundant number, since it is smaller than the sum of its proper divisors (314721491630).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

242300034130 is a wasteful number, since it uses less digits than its factorization.

242300034130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7675075.

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 242300034130 its reverse (31430003242), we get a palindrome (273730037372).

The spelling of 242300034130 in words is "two hundred forty-two billion, three hundred million, thirty-four thousand, one hundred thirty".

Divisors: 1 2 5 7 10 11 14 22 35 41 55 70 77 82 110 154 205 287 385 410 451 574 770 902 1435 2255 2870 3157 4510 6314 15785 31570 7675009 15350018 38375045 53725063 76750090 84425099 107450126 168850198 268625315 314675369 422125495 537250630 590975693 629350738 844250990 1181951386 1573376845 2202727583 2954878465 3146753690 3461429059 4405455166 5909756930 6922858118 11013637915 17307145295 22027275830 24230003413 34614290590 48460006826 121150017065 242300034130