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134433661131 = 327111919352901
BaseRepresentation
bin111110100110011011…
…1101110000011001011
3110211222220122120022100
41331030313232003023
54200310004124011
6141431415524443
712466251160050
oct1751467560313
9424886576270
10134433661131
115201632a390
1222079689723
13c8a55c2063
146714267027
15376c1ead56
hex1f4cdee0cb

134433661131 has 96 divisors (see below), whose sum is σ = 256164180480. Its totient is φ = 65816064000.

The previous prime is 134433661129. The next prime is 134433661139. The reversal of 134433661131 is 131166334431.

134433661131 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 3 + 3 + 6 + 611 + 31 = 666.

It is not a de Polignac number, because 134433661131 - 21 = 134433661129 is a prime.

It is a super-3 number, since 3×1344336611313 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (134433661139) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2514781 + ... + 2567681.

It is an arithmetic number, because the mean of its divisors is an integer number (2668376880).

Almost surely, 2134433661131 is an apocalyptic number.

134433661131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

134433661131 is a deficient number, since it is larger than the sum of its proper divisors (121730519349).

134433661131 is a wasteful number, since it uses less digits than its factorization.

134433661131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53137 (or 53134 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

Adding to 134433661131 its reverse (131166334431), we get a palindrome (265599995562).

The spelling of 134433661131 in words is "one hundred thirty-four billion, four hundred thirty-three million, six hundred sixty-one thousand, one hundred thirty-one".

Divisors: 1 3 7 9 11 19 21 33 57 63 77 99 133 171 193 209 231 399 579 627 693 1197 1351 1463 1737 1881 2123 3667 4053 4389 6369 11001 12159 13167 14861 19107 25669 33003 40337 44583 52901 77007 121011 133749 158703 231021 282359 363033 370307 476109 581911 847077 1005119 1110921 1745733 2541231 3015357 3332763 4073377 5237199 7035833 9046071 10209893 11056309 12220131 21107499 30629679 33168927 36660393 63322497 71469251 77394163 91889037 99506781 112308823 193987967 214407753 232182489 336926469 581963901 643223259 696547467 786161761 1010779407 1357915769 1745891703 2133867637 2358485283 4073747307 6401602911 7075455849 12221241921 14937073459 19204808733 44811220377 134433661131