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113355144 = 23327224911
BaseRepresentation
bin1101100000110…
…10100110001000
321220022001000200
412300122212020
5213004331034
615125332200
72544334320
oct660324610
9256261020
10113355144
1158a93441
1231b67060
131a63b566
14110aa280
159e41a99
hex6c1a988

113355144 has 48 divisors (see below), whose sum is σ = 350862720. Its totient is φ = 32387040.

The previous prime is 113355101. The next prime is 113355157. The reversal of 113355144 is 441553311.

It is a happy number.

113355144 is a `hidden beast` number, since 113 + 35 + 514 + 4 = 666.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 111952 + ... + 112959.

It is an arithmetic number, because the mean of its divisors is an integer number (7309640).

Almost surely, 2113355144 is an apocalyptic number.

113355144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

113355144 is an abundant number, since it is smaller than the sum of its proper divisors (237507576).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

113355144 is a wasteful number, since it uses less digits than its factorization.

113355144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224930 (or 224923 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 113355144 is about 10646.8372768630. The cubic root of 113355144 is about 483.9647653243.

The spelling of 113355144 in words is "one hundred thirteen million, three hundred fifty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 224911 449822 674733 899644 1349466 1574377 1799288 2024199 2698932 3148754 4048398 4723131 5397864 6297508 8096796 9446262 12595016 14169393 16193592 18892524 28338786 37785048 56677572 113355144