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13118266161 = 32711138916361
BaseRepresentation
bin11000011011110100…
…01101101100110001
31020212020022222010200
430031322031230301
5203331234004121
610005413545413
7643040264640
oct141572155461
936766288120
1013118266161
115621a12590
122661345269
131310a3c690
148c6353357
1551ba13a26
hex30de8db31

13118266161 has 96 divisors (see below), whose sum is σ = 25728917760. Its totient is φ = 6219417600.

The previous prime is 13118266127. The next prime is 13118266169. The reversal of 13118266161 is 16166281131.

It is a happy number.

13118266161 is a `hidden beast` number, since 1 + 3 + 1 + 18 + 26 + 616 + 1 = 666.

It is not a de Polignac number, because 13118266161 - 210 = 13118265137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13118266169) 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, 793621 + ... + 809981.

It is an arithmetic number, because the mean of its divisors is an integer number (268009560).

Almost surely, 213118266161 is an apocalyptic number.

13118266161 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13118266161 is a deficient number, since it is larger than the sum of its proper divisors (12610651599).

13118266161 is a wasteful number, since it uses less digits than its factorization.

13118266161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16487 (or 16484 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The spelling of 13118266161 in words is "thirteen billion, one hundred eighteen million, two hundred sixty-six thousand, one hundred sixty-one".

Divisors: 1 3 7 9 11 13 21 33 39 63 77 89 91 99 117 143 231 267 273 429 623 693 801 819 979 1001 1157 1287 1869 2937 3003 3471 5607 6853 8099 8811 9009 10413 12727 16361 20559 24297 38181 49083 61677 72891 89089 114527 114543 147249 179971 212693 267267 343581 539913 638079 801801 1030743 1259797 1456129 1488851 1619739 1914237 2339623 3779391 4368387 4466553 7018869 10192903 11338173 13105161 13399659 16017419 16377361 18929677 21056607 30578709 48052257 49132083 56789031 91736127 112121933 132507739 144156771 147396249 170367093 208226447 336365799 397523217 624679341 1009097397 1192569651 1457585129 1874038023 4372755387 13118266161