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113132033 = 732271453
BaseRepresentation
bin1101011111001…
…00001000000001
321212212200222022
412233210020001
5212430211113
615120451225
72542415000
oct657441001
9255780868
10113132033
1158950853
1231a79b15
131a590b41
141104cc37
159dea908
hex6be4201

113132033 has 16 divisors (see below), whose sum is σ = 132604800. Its totient is φ = 96476688.

The previous prime is 113132027. The next prime is 113132057. The reversal of 113132033 is 330231311.

It is not a de Polignac number, because 113132033 - 24 = 113132017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (113132233) 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 15 ways as a sum of consecutive naturals, for example, 77135 + ... + 78587.

It is an arithmetic number, because the mean of its divisors is an integer number (8287800).

Almost surely, 2113132033 is an apocalyptic number.

It is an amenable number.

113132033 is a deficient number, since it is larger than the sum of its proper divisors (19472767).

113132033 is an equidigital number, since it uses as much as digits as its factorization.

113132033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1701 (or 1687 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

The square root of 113132033 is about 10636.3543096307. The cubic root of 113132033 is about 483.6470359330.

Adding to 113132033 its reverse (330231311), we get a palindrome (443363344).

The spelling of 113132033 in words is "one hundred thirteen million, one hundred thirty-two thousand, thirty-three".

Divisors: 1 7 49 227 343 1453 1589 10171 11123 71197 77861 329831 498379 2308817 16161719 113132033