Base | Representation |
---|---|
bin | 1101011111001… |
… | …10011010100100 |
3 | 21212220011211200 |
4 | 12233212122210 |
5 | 212431011122 |
6 | 15121002500 |
7 | 2542454226 |
oct | 657463244 |
9 | 255804750 |
10 | 113141412 |
11 | 589578aa |
12 | 31a83430 |
13 | 1a5951a7 |
14 | 11052416 |
15 | 9ded5ac |
hex | 6be66a4 |
113141412 has 108 divisors (see below), whose sum is σ = 307215636. Its totient is φ = 35078400.
The previous prime is 113141407. The next prime is 113141417. The reversal of 113141412 is 214141311.
113141412 is a `hidden beast` number, since 113 + 141 + 412 = 666.
It is an interprime number because it is at equal distance from previous prime (113141407) and next prime (113141417).
It can be written as a sum of positive squares in 6 ways, for example, as 30404196 + 82737216 = 5514^2 + 9096^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
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 (113141417) by changing a digit.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1120162 + ... + 1120262.
Almost surely, 2113141412 is an apocalyptic number.
113141412 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 113141412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153607818).
113141412 is an abundant number, since it is smaller than the sum of its proper divisors (194074224).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
113141412 is a wasteful number, since it uses less digits than its factorization.
113141412 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 206 (or 172 counting only the distinct ones).
The product of its digits is 96, while the sum is 18.
The square root of 113141412 is about 10636.7951940422. The cubic root of 113141412 is about 483.6604008485.
Adding to 113141412 its reverse (214141311), we get a palindrome (327282723).
The spelling of 113141412 in words is "one hundred thirteen million, one hundred forty-one thousand, four hundred twelve".
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