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163112201266131 = 321340967310334903
BaseRepresentation
bin100101000101100110000100…
…110100001010001111010011
3210101112101002202110012112100
4211011212010310022033103
5132334412242011004011
61334524413311131443
746233316255440045
oct4505460464121723
9711471082405470
10163112201266131
1147a77550319977
12163642a2213b83
137002550aa6c60
142c3c95bb11a95
1513ccdc907ad56
hex945984d0a3d3

163112201266131 has 96 divisors (see below), whose sum is σ = 255026987895680. Its totient is φ = 99865374916608.

The previous prime is 163112201266129. The next prime is 163112201266241. The reversal of 163112201266131 is 131662102211361.

163112201266131 is a `hidden beast` number, since 1 + 6 + 3 + 1 + 1 + 2 + 20 + 12 + 6 + 613 + 1 = 666.

It is not a de Polignac number, because 163112201266131 - 21 = 163112201266129 is a prime.

It is a super-2 number, since 2×1631122012661312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (163112201267131) 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, 33267833826 + ... + 33267838728.

Almost surely, 2163112201266131 is an apocalyptic number.

163112201266131 is a deficient number, since it is larger than the sum of its proper divisors (91914786629549).

163112201266131 is a wasteful number, since it uses less digits than its factorization.

163112201266131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7037 (or 7034 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

Adding to 163112201266131 its reverse (131662102211361), we get a palindrome (294774303477492).

The spelling of 163112201266131 in words is "one hundred sixty-three trillion, one hundred twelve billion, two hundred one million, two hundred sixty-six thousand, one hundred thirty-one".

Divisors: 1 3 9 13 39 117 409 673 1033 1227 2019 3099 3681 4903 5317 6057 8749 9297 13429 14709 15951 26247 40287 44127 47853 63739 78741 120861 191217 275257 422497 573651 695209 825771 1267491 2005327 2085627 2477313 3299719 3578341 3802473 5064799 5492461 6015981 6256881 9037717 9899157 10735023 15194397 16477383 18047943 26069251 27113151 29697471 32205069 42896347 45583191 49432149 65842387 78207753 81339453 128689041 197527161 234623259 284340481 386067123 592581483 853021443 1349585071 2071502791 2559064329 3408609727 3696426253 4048755213 6214508373 10225829181 11089278759 12146265639 17544605923 18643525119 26929536283 30677487543 33267836277 44311926451 52633817769 80788608849 132935779353 157901453307 242365826547 398807338059 1394121378343 4182364135029 12547092405087 18123577918459 54370733755377 163112201266131