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20116112307165 = 3257131686970969
BaseRepresentation
bin1001001001011101001011…
…01110100111001111011101
32122020002012110020212011200
410210232211232213033131
510114040244222312130
6110441114151510113
74144225005241560
oct444564556471735
978202173225150
1020116112307165
116456216a75a76
12230a779388339
13b2bc30c0bc34
144d78a71264d7
1524d3ed89c760
hex124ba5ba73dd

20116112307165 has 96 divisors (see below), whose sum is σ = 40159663315200. Its totient is φ = 9124281953280.

The previous prime is 20116112307157. The next prime is 20116112307191. The reversal of 20116112307165 is 56170321161102.

20116112307165 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 611 + 2 + 30 + 7 + 1 + 6 + 5 = 666.

It is not a de Polignac number, because 20116112307165 - 23 = 20116112307157 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 283413801 + ... + 283484769.

It is an arithmetic number, because the mean of its divisors is an integer number (418329826200).

Almost surely, 220116112307165 is an apocalyptic number.

It is an amenable number.

20116112307165 is a deficient number, since it is larger than the sum of its proper divisors (20043551008035).

20116112307165 is a wasteful number, since it uses less digits than its factorization.

20116112307165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77987 (or 77984 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

Adding to 20116112307165 its reverse (56170321161102), we get a palindrome (76286433468267).

The spelling of 20116112307165 in words is "twenty trillion, one hundred sixteen billion, one hundred twelve million, three hundred seven thousand, one hundred sixty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 131 315 393 655 917 1179 1965 2751 4585 5895 6869 8253 13755 20607 34345 41265 48083 61821 70969 103035 144249 212907 240415 309105 354845 432747 496783 638721 721245 899839 1064535 1490349 2163735 2483915 2699517 3193605 4471047 4499195 6298873 7451745 8098551 9296939 13497585 18896619 22355235 27890817 31494365 40492755 46484695 56689857 65078573 83672451 94483095 139454085 195235719 283449285 325392865 418362255 487486061 585707157 976178595 1462458183 2437430305 2928535785 3412402427 4387374549 7312290915 10237207281 17062012135 21936872745 30711621843 51186036405 63860673991 153558109215 191582021973 319303369955 447024717937 574746065919 957910109865 1341074153811 2235123589685 2873730329595 4023222461433 6705370769055 20116112307165