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133333533333 = 327211133757143
BaseRepresentation
bin111110000101101001…
…1000100001010010101
3110202011020120021200100
41330023103010022111
54141031341031313
6141130320204313
712430062222300
oct1741323041225
9422136507610
10133333533333
1151601338060
1221a11169699
13c75b6c8170
14664c0d3b37
15370583c173
hex1f0b4c4295

133333533333 has 144 divisors (see below), whose sum is σ = 270322206336. Its totient is φ = 62207066880.

The previous prime is 133333533317. The next prime is 133333533337. The reversal of 133333533333 is 333335333331.

133333533333 is an astonishing number since 133333533333 = 133333 + ... + 533333.

It is not a de Polignac number, because 133333533333 - 24 = 133333533317 is a prime.

It is a super-2 number, since 2×1333335333332 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133333533337) 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 143 ways as a sum of consecutive naturals, for example, 2304760 + ... + 2361902.

It is an arithmetic number, because the mean of its divisors is an integer number (1877237544).

Almost surely, 2133333533333 is an apocalyptic number.

133333533333 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

133333533333 is an abundant number, since it is smaller than the sum of its proper divisors (136988673003).

133333533333 is a wasteful number, since it uses less digits than its factorization.

133333533333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57224 (or 57214 counting only the distinct ones).

The product of its digits is 295245, while the sum is 36.

Adding to 133333533333 its reverse (333335333331), we get a palindrome (466668866664).

It can be divided in two parts, 133333 and 533333, that added together give a palindrome (666666).

The spelling of 133333533333 in words is "one hundred thirty-three billion, three hundred thirty-three million, five hundred thirty-three thousand, three hundred thirty-three".

Divisors: 1 3 7 9 11 13 21 33 37 39 49 63 77 91 99 111 117 143 147 231 259 273 333 407 429 441 481 539 637 693 777 819 1001 1221 1287 1443 1617 1813 1911 2331 2849 3003 3367 3663 4329 4851 5291 5439 5733 7007 8547 9009 10101 15873 16317 19943 21021 23569 25641 30303 37037 47619 57143 59829 63063 70707 111111 171429 179487 212121 259259 333333 400001 514287 628573 742859 777777 1200003 1885719 2114291 2228577 2333331 2800007 3600009 4400011 5200013 5657157 6342873 6685731 8171449 8400021 13200033 14800037 15600039 19028619 23257201 24514347 25200063 27485783 30800077 36400091 39600099 44400111 46800117 57200143 69771603 73543041 82457349 92400231 103600259 109200273 133200333 162800407 171600429 192400481 209314809 247372047 277200693 302343613 310800777 327600819 400401001 488401221 514801287 577201443 907030839 932402331 1139602849 1201203003 1346803367 1465203663 1731604329 2116405291 2721092517 3418808547 3603609009 4040410101 6349215873 10256425641 12121230303 14814837037 19047647619 44444511111 133333533333