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242335133535 = 3511172927110993
BaseRepresentation
bin1110000110110001001…
…1001010111101011111
3212011111202022022000010
43201230103022331133
512432300243233120
6303154402534303
723336201435205
oct3415423127537
9764452268003
10242335133535
1193856957670
123ab71667393
1319b100c8351
14ba2c865075
156484e6c7e0
hex386c4caf5f

242335133535 has 128 divisors (see below), whose sum is σ = 465062031360. Its totient is φ = 106367385600.

The previous prime is 242335133503. The next prime is 242335133581. The reversal of 242335133535 is 535331533242.

It is not a de Polignac number, because 242335133535 - 25 = 242335133503 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 242335133493 and 242335133502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22038999 + ... + 22049991.

It is an arithmetic number, because the mean of its divisors is an integer number (3633297120).

Almost surely, 2242335133535 is an apocalyptic number.

242335133535 is a deficient number, since it is larger than the sum of its proper divisors (222726897825).

242335133535 is a wasteful number, since it uses less digits than its factorization.

242335133535 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11329.

The product of its digits is 486000, while the sum is 39.

Adding to 242335133535 its reverse (535331533242), we get a palindrome (777666666777).

The spelling of 242335133535 in words is "two hundred forty-two billion, three hundred thirty-five million, one hundred thirty-three thousand, five hundred thirty-five".

Divisors: 1 3 5 11 15 17 29 33 51 55 85 87 145 165 187 255 271 319 435 493 561 813 935 957 1355 1479 1595 2465 2805 2981 4065 4607 4785 5423 7395 7859 8943 10993 13821 14905 16269 23035 23577 27115 32979 39295 44715 50677 54965 69105 81345 86449 117885 120923 133603 152031 164895 186881 253385 259347 318797 362769 400809 432245 560643 604615 668015 760155 934405 956391 1296735 1469633 1593985 1813845 2004045 2055691 2803215 2979103 3506767 4408899 4781955 5419549 6167073 7348165 8937309 10278455 10520301 14895515 16258647 17533835 22044495 27097745 30835365 32770133 44686545 50644751 52601505 59615039 81293235 86393987 98310399 151934253 163850665 178845117 253223755 259181961 298075195 431969935 491551995 557092261 759671265 894225585 950333857 1295909805 1468697779 1671276783 2785461305 2851001571 4406093337 4751669285 7343488895 8356383915 14255007855 16155675569 22030466685 48467026707 80778377845 242335133535