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113482316817 = 313175379
BaseRepresentation
bin110100110110000010…
…0101011110000010001
3101211220210000000000000
41221230010223300101
53324402433114232
6124044423520213
711125124530422
oct1515404536021
9354823000000
10113482316817
114414489a2a1
1219bb0bb9069
13a916ab47bc
1456c789b649
152e42bb027c
hex1a6c12bc11

113482316817 has 112 divisors (see below), whose sum is σ = 185961795840. Its totient is φ = 68976790272.

The previous prime is 113482316797. The next prime is 113482316873. The reversal of 113482316817 is 718613284311.

113482316817 is a `hidden beast` number, since 1 + 1 + 3 + 482 + 3 + 168 + 1 + 7 = 666.

It is not a de Polignac number, because 113482316817 - 211 = 113482314769 is a prime.

It is a super-2 number, since 2×1134823168172 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (113482316897) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1436484984 + ... + 1436485062.

Almost surely, 2113482316817 is an apocalyptic number.

113482316817 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

113482316817 is a deficient number, since it is larger than the sum of its proper divisors (72479479023).

113482316817 is an frugal number, since it uses more digits than its factorization.

113482316817 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 152 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The spelling of 113482316817 in words is "one hundred thirteen billion, four hundred eighty-two million, three hundred sixteen thousand, eight hundred seventeen".

Divisors: 1 3 9 17 27 51 53 79 81 153 159 237 243 459 477 711 729 901 1343 1377 1431 2133 2187 2703 4029 4131 4187 4293 6399 6561 8109 12087 12393 12561 12879 19197 19683 24327 36261 37179 37683 38637 57591 59049 71179 72981 108783 111537 113049 115911 172773 177147 213537 218943 326349 334611 339147 347733 518319 531441 640611 656829 979047 1003833 1017441 1043199 1554957 1594323 1921833 1970487 2937141 3011499 3052323 3129597 4664871 5765499 5911461 8811423 9034497 9156969 9388791 13994613 17296497 17734383 26434269 27103491 27470907 28166373 41983839 51889491 53203149 79302807 82412721 84499119 125951517 155668473 159609447 237908421 247238163 467005419 478828341 713725263 741714489 1401016257 1436485023 2141175789 2225143467 4203048771 6675430401 12609146313 37827438939 113482316817