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132534105160041 = 3313113242017039
BaseRepresentation
bin11110001000101000000000…
…010000100011100101101001
3122101021010200122221111021000
4132020220000100203211221
5114332414321410110131
61145513154414105213
736626162451154524
oct3610500020434551
9571233618844230
10132534105160041
1139258442229a92
1212a45bb77ab209
1358c4bb29801a0
1424a29835a5bbb
15104c7b23cbce6
hex788a00423969

132534105160041 has 96 divisors (see below), whose sum is σ = 213419324518400. Its totient is φ = 80806960281600.

The previous prime is 132534105160027. The next prime is 132534105160057. The reversal of 132534105160041 is 140061501435231.

132534105160041 is a `hidden beast` number, since 1 + 3 + 2 + 5 + 3 + 4 + 1 + 0 + 5 + 1 + 600 + 41 = 666.

It is not a de Polignac number, because 132534105160041 - 213 = 132534105151849 is a prime.

It is a super-3 number, since 3×1325341051600413 (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132534105159978 and 132534105160005.

It is not an unprimeable number, because it can be changed into a prime (132534105160741) 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 95 ways as a sum of consecutive naturals, for example, 18828538200 + ... + 18828545238.

Almost surely, 2132534105160041 is an apocalyptic number.

It is an amenable number.

132534105160041 is a deficient number, since it is larger than the sum of its proper divisors (80885219358359).

132534105160041 is a wasteful number, since it uses less digits than its factorization.

132534105160041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11488 (or 11369 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 132534105160041 its reverse (140061501435231), we get a palindrome (272595606595272).

The spelling of 132534105160041 in words is "one hundred thirty-two trillion, five hundred thirty-four billion, one hundred five million, one hundred sixty thousand, forty-one".

Divisors: 1 3 9 13 27 39 113 117 339 351 1017 1469 3051 4201 4407 7039 12603 12769 13221 21117 37809 38307 39663 54613 63351 91507 113427 114921 163839 165997 190053 274521 344763 474713 491517 497991 795407 823563 1424139 1474551 1493973 2386221 2470689 4272417 4481919 6171269 7158663 10340291 12817251 18513807 21475989 29570839 31020873 53642569 55541421 88712517 89880991 93062619 160927707 166624263 266137551 269642973 279187857 384420907 482783121 697353397 798412653 808928919 1153262721 1168452883 1448349363 2092060191 2426786757 3341504807 3459788163 3505358649 6276180573 10024514421 10379364489 10516075947 18828541719 30073543263 31548227841 43439562491 90220629789 130318687473 377590043191 390956062419 1132770129573 1172868187257 3398310388719 4908670561483 10194931166157 14726011684449 44178035053347 132534105160041