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113582133 = 3271994889
BaseRepresentation
bin1101100010100…
…10000000110101
321220201120101200
412301102000311
5213034112013
615134243113
72546301150
oct661220065
9256646350
10113582133
1159128a35
1232056499
131a6ba982
1411128c97
159e88e73
hex6c52035

113582133 has 24 divisors (see below), whose sum is σ = 197371200. Its totient is φ = 61487424.

The previous prime is 113582113. The next prime is 113582159. The reversal of 113582133 is 331285311.

It is not a de Polignac number, because 113582133 - 29 = 113581621 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 113582097 and 113582106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113582113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46248 + ... + 48641.

It is an arithmetic number, because the mean of its divisors is an integer number (8223800).

Almost surely, 2113582133 is an apocalyptic number.

It is an amenable number.

113582133 is a deficient number, since it is larger than the sum of its proper divisors (83789067).

113582133 is a wasteful number, since it uses less digits than its factorization.

113582133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94921 (or 94918 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 113582133 is about 10657.4918719181. The cubic root of 113582133 is about 484.2875897656.

The spelling of 113582133 in words is "one hundred thirteen million, five hundred eighty-two thousand, one hundred thirty-three".

Divisors: 1 3 7 9 19 21 57 63 133 171 399 1197 94889 284667 664223 854001 1802891 1992669 5408673 5978007 12620237 16226019 37860711 113582133