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242302324131 = 33737281123307
BaseRepresentation
bin1110000110101001011…
…0000000110110100011
3212011102110120101222000
43201222112000312203
512432213343333011
6303151231415043
723335322526030
oct3415226006643
9764373511860
10242302324131
119383a38845a
123ab62684483
1319b0637b6ba
14ba28364387
15648213b356
hex386a580da3

242302324131 has 64 divisors (see below), whose sum is σ = 422837928960. Its totient is φ = 134235843840.

The previous prime is 242302324129. The next prime is 242302324241. The reversal of 242302324131 is 131423203242.

242302324131 is a `hidden beast` number, since 2 + 4 + 2 + 302 + 324 + 1 + 31 = 666.

It is not a de Polignac number, because 242302324131 - 21 = 242302324129 is a prime.

It is a super-2 number, since 2×2423023241312 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 242302324095 and 242302324104.

It is not an unprimeable number, because it can be changed into a prime (242302325131) 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 63 ways as a sum of consecutive naturals, for example, 1903380 + ... + 2026686.

It is an arithmetic number, because the mean of its divisors is an integer number (6606842640).

Almost surely, 2242302324131 is an apocalyptic number.

242302324131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

242302324131 is a deficient number, since it is larger than the sum of its proper divisors (180535604829).

242302324131 is a wasteful number, since it uses less digits than its factorization.

242302324131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123641 (or 123635 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 242302324131 its reverse (131423203242), we get a palindrome (373725527373).

The spelling of 242302324131 in words is "two hundred forty-two billion, three hundred two million, three hundred twenty-four thousand, one hundred thirty-one".

Divisors: 1 3 7 9 21 27 37 63 111 189 259 281 333 777 843 999 1967 2331 2529 5901 6993 7587 10397 17703 31191 53109 72779 93573 123307 218337 280719 369921 655011 863149 1109763 1965033 2589447 3329289 4562359 7768341 13687077 23305023 31936513 34649267 41061231 95809539 103947801 123183693 242544869 287428617 311843403 727634607 862285851 935530209 1282022879 2182903821 3846068637 6548711463 8974160153 11538205911 26922480459 34614617733 80767441377 242302324131