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113249521 = 7115772549
BaseRepresentation
bin1101100000000…
…00110011110001
321220002200010201
412300000303301
5212442441041
615123155201
72543414350
oct660006361
9256080121
10113249521
1158a21050
1231b15b01
131a602468
141107d997
159e20631
hex6c00cf1

113249521 has 16 divisors (see below), whose sum is σ = 141494400. Its totient is φ = 88058880.

The previous prime is 113249509. The next prime is 113249527. The reversal of 113249521 is 125942311.

It is not a de Polignac number, because 113249521 - 211 = 113247473 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 113249521.

It is not an unprimeable number, because it can be changed into a prime (113249527) 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, 43155 + ... + 45703.

It is an arithmetic number, because the mean of its divisors is an integer number (8843400).

Almost surely, 2113249521 is an apocalyptic number.

113249521 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

113249521 is a deficient number, since it is larger than the sum of its proper divisors (28244879).

113249521 is a wasteful number, since it uses less digits than its factorization.

113249521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3144.

The product of its digits is 2160, while the sum is 28.

The square root of 113249521 is about 10641.8758214894. The cubic root of 113249521 is about 483.8144010390.

It can be divided in two parts, 1132 and 49521, that added together give a cube (50653 = 373).

The spelling of 113249521 in words is "one hundred thirteen million, two hundred forty-nine thousand, five hundred twenty-one".

Divisors: 1 7 11 77 577 2549 4039 6347 17843 28039 44429 196273 1470773 10295411 16178503 113249521