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113442312 = 233191931289
BaseRepresentation
bin1101100001011…
…11111000001000
321220110110121010
412300233320020
5213020123222
615131243520
72545146414
oct660577010
9256413533
10113442312
1159042985
1231ba95a0
131a66c139
14110cdd44
159e5c80c
hex6c2fe08

113442312 has 64 divisors (see below), whose sum is σ = 300312000. Its totient is φ = 35610624.

The previous prime is 113442311. The next prime is 113442317. The reversal of 113442312 is 213244311.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (113442311) 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 15 ways as a sum of consecutive naturals, for example, 87364 + ... + 88652.

It is an arithmetic number, because the mean of its divisors is an integer number (4692375).

Almost surely, 2113442312 is an apocalyptic number.

113442312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113442312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150156000).

113442312 is an abundant number, since it is smaller than the sum of its proper divisors (186869688).

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

113442312 is a wasteful number, since it uses less digits than its factorization.

113442312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1510 (or 1506 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 113442312 is about 10650.9301002307. The cubic root of 113442312 is about 484.0887868444.

Adding to 113442312 its reverse (213244311), we get a palindrome (326686623).

The spelling of 113442312 in words is "one hundred thirteen million, four hundred forty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 193 228 386 456 579 772 1158 1289 1544 2316 2578 3667 3867 4632 5156 7334 7734 10312 11001 14668 15468 22002 24491 29336 30936 44004 48982 73473 88008 97964 146946 195928 248777 293892 497554 587784 746331 995108 1492662 1990216 2985324 4726763 5970648 9453526 14180289 18907052 28360578 37814104 56721156 113442312