Base | Representation |
---|---|
bin | 1111101000001… |
… | …11001000011100 |
3 | 100010200122001110 |
4 | 13310013020130 |
5 | 232030214322 |
6 | 21001542020 |
7 | 3151225164 |
oct | 764071034 |
9 | 303618043 |
10 | 131101212 |
11 | 68004310 |
12 | 37aa4910 |
13 | 21212aa8 |
14 | 135a95a4 |
15 | b799c0c |
hex | 7d0721c |
131101212 has 96 divisors (see below), whose sum is σ = 363121920. Its totient is φ = 36357120.
The previous prime is 131101207. The next prime is 131101213. The reversal of 131101212 is 212101131.
It is a super-4 number, since 4×1311012124 (a number of 34 digits) contains 4444 as substring.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (131101213) 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 31 ways as a sum of consecutive naturals, for example, 82239 + ... + 83817.
It is an arithmetic number, because the mean of its divisors is an integer number (3782520).
Almost surely, 2131101212 is an apocalyptic number.
131101212 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 131101212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181560960).
131101212 is an abundant number, since it is smaller than the sum of its proper divisors (232020708).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131101212 is a wasteful number, since it uses less digits than its factorization.
131101212 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1651 (or 1649 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 12.
The square root of 131101212 is about 11449.9437553204. The cubic root of 131101212 is about 508.0060707729.
Adding to 131101212 its reverse (212101131), we get a palindrome (343202343).
The spelling of 131101212 in words is "one hundred thirty-one million, one hundred one thousand, two hundred twelve".
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