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535021131143133 = 3223291031078086891
BaseRepresentation
bin111100110100110010101000…
…0011110000001011111011101
32121011100112001112100211020200
41321221211100132001133131
51030111241234033040013
65133521151535134113
7220460000250145455
oct17151452036013735
92534315045324220
10535021131143133
11145524207615a38
125000a81a374339
1319c6c378a07b8b
14961923779cd65
1541cc1da0ece73
hex1e699507817dd

535021131143133 has 96 divisors (see below), whose sum is σ = 850187248035840. Its totient is φ = 323161440497280.

The previous prime is 535021131143123. The next prime is 535021131143141. The reversal of 535021131143133 is 331341131120535.

535021131143133 is a `hidden beast` number, since 5 + 3 + 5 + 0 + 21 + 1 + 311 + 4 + 313 + 3 = 666.

It is not a de Polignac number, because 535021131143133 - 212 = 535021131139037 is a prime.

It is a super-2 number, since 2×5350211311431332 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (535021131143113) 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, 62115618 + ... + 70202508.

It is an arithmetic number, because the mean of its divisors is an integer number (8856117167040).

Almost surely, 2535021131143133 is an apocalyptic number.

It is an amenable number.

535021131143133 is a deficient number, since it is larger than the sum of its proper divisors (315166116892707).

535021131143133 is a wasteful number, since it uses less digits than its factorization.

535021131143133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8087159 (or 8087156 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

Adding to 535021131143133 its reverse (331341131120535), we get a palindrome (866362262263668).

The spelling of 535021131143133 in words is "five hundred thirty-five trillion, twenty-one billion, one hundred thirty-one million, one hundred forty-three thousand, one hundred thirty-three".

Divisors: 1 3 9 23 29 69 87 103 107 207 261 309 321 667 927 963 2001 2369 2461 2987 3103 6003 7107 7383 8961 9309 11021 21321 22149 26883 27927 33063 68701 71369 99189 206103 214107 253483 319609 618309 642321 760449 958827 2281347 2876481 7351007 8086891 22053021 24260673 66159063 72782019 185998493 234519839 557995479 703559517 832949773 865297337 1673986437 2110678551 2498849319 2595892011 5393956297 7496547957 7787676033 16181868891 19157844779 19901838751 24155543417 25093622773 48545606673 57473534337 59705516253 72466630251 75280868319 89125625711 172420603011 179116548759 217399890753 225842604957 267376877133 555577498591 577153323779 802130631399 1666732495773 1731459971337 2049889391353 2584643145619 5000197487319 5194379914011 6149668174059 7753929436857 18449004522177 23261788310571 59446792349237 178340377047711 535021131143133