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133414341333 = 371337137229421
BaseRepresentation
bin111110001000000011…
…1010100101011010101
3110202100212121202102020
41330100013110223111
54141213032410313
6141142324203353
712432063122160
oct1742007245325
9422325552366
10133414341333
1151642a10329
1221a34239559
13c77237c250
146658b2aad7
15370c9a0323
hex1f101d4ad5

133414341333 has 128 divisors (see below), whose sum is σ = 228024222720. Its totient is φ = 67513098240.

The previous prime is 133414341311. The next prime is 133414341353. The reversal of 133414341333 is 333143414331.

It is not a de Polignac number, because 133414341333 - 29 = 133414340821 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 133414341294 and 133414341303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133414341353) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 316898463 + ... + 316898883.

It is an arithmetic number, because the mean of its divisors is an integer number (1781439240).

Almost surely, 2133414341333 is an apocalyptic number.

133414341333 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

133414341333 is a deficient number, since it is larger than the sum of its proper divisors (94609881387).

133414341333 is a wasteful number, since it uses less digits than its factorization.

133414341333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 847.

The product of its digits is 46656, while the sum is 33.

Adding to 133414341333 its reverse (333143414331), we get a palindrome (466557755664).

The spelling of 133414341333 in words is "one hundred thirty-three billion, four hundred fourteen million, three hundred forty-one thousand, three hundred thirty-three".

Divisors: 1 3 7 13 21 37 39 91 111 137 229 259 273 411 421 481 687 777 959 1263 1443 1603 1781 2877 2947 2977 3367 4809 5069 5343 5473 8473 8841 8931 10101 12467 15207 15577 16419 20839 25419 31373 35483 37401 38311 46731 57677 59311 62517 65897 94119 96409 106449 109039 110149 114933 173031 177933 197691 202501 219611 289227 327117 330447 403739 407849 461279 607503 658833 674863 749801 771043 1160801 1211217 1223547 1253317 1383837 1417507 2024589 2134049 2249403 2313129 2854943 3482403 3567133 3759951 4252521 5248607 6402147 8125607 8564829 8773219 10701399 13208033 14938343 15090413 15745821 24376821 24969931 26319657 27742637 39624099 44815029 45271239 46372729 74909793 83227911 92456231 105632891 139118187 171704429 194198459 277368693 316898673 324609103 488697221 515113287 582595377 973827309 1201931003 1466091663 3420880547 3605793009 6353063873 10262641641 19059191619 44471447111 133414341333