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113524983 = 3811313
BaseRepresentation
bin1101100010001…
…00000011110111
321220121200000000
412301010003313
5213030244413
615133122343
72545642425
oct661040367
9256550000
10113524983
115909a000
12320293b3
131a69a960
1411112115
159e77073
hex6c440f7

113524983 has 72 divisors (see below), whose sum is σ = 201701136. Its totient is φ = 63510480.

The previous prime is 113524979. The next prime is 113525021. The reversal of 113524983 is 389425311.

113524983 is a `hidden beast` number, since 113 + 52 + 498 + 3 = 666.

It is not a de Polignac number, because 113524983 - 22 = 113524979 is a prime.

Its product of digits (25920) is a multiple of the sum of its prime divisors (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113524933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8732685 + ... + 8732697.

Almost surely, 2113524983 is an apocalyptic number.

113524983 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

113524983 is a deficient number, since it is larger than the sum of its proper divisors (88176153).

113524983 is an frugal number, since it uses more digits than its factorization.

113524983 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 27 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 113524983 is about 10654.8103221033. The cubic root of 113524983 is about 484.2063514044.

The spelling of 113524983 in words is "one hundred thirteen million, five hundred twenty-four thousand, nine hundred eighty-three".

Divisors: 1 3 9 11 13 27 33 39 81 99 117 121 143 243 297 351 363 429 729 891 1053 1089 1287 1331 1573 2187 2673 3159 3267 3861 3993 4719 6561 8019 9477 9801 11583 11979 14157 17303 24057 28431 29403 34749 35937 42471 51909 72171 85293 88209 104247 107811 127413 155727 264627 312741 323433 382239 467181 793881 938223 970299 1146717 1401543 2910897 3440151 4204629 8732691 10320453 12613887 37841661 113524983