Base | Representation |
---|---|
bin | 1111101000100… |
… | …00110110010010 |
3 | 100010202122122110 |
4 | 13310100312102 |
5 | 232033003020 |
6 | 21002450150 |
7 | 3151452210 |
oct | 764206622 |
9 | 303678573 |
10 | 131141010 |
11 | 68031200 |
12 | 37b03956 |
13 | 21227c40 |
14 | 135b9cb0 |
15 | b7a68e0 |
hex | 7d10d92 |
131141010 has 192 divisors, whose sum is σ = 426859776. Its totient is φ = 25090560.
The previous prime is 131140981. The next prime is 131141029. The reversal of 131141010 is 10141131.
131141010 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is an unprimeable number.
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 95 ways as a sum of consecutive naturals, for example, 330132 + ... + 330528.
It is an arithmetic number, because the mean of its divisors is an integer number (2223228).
Almost surely, 2131141010 is an apocalyptic number.
131141010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 131141010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213429888).
131141010 is an abundant number, since it is smaller than the sum of its proper divisors (295718766).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131141010 is a wasteful number, since it uses less digits than its factorization.
131141010 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 449 (or 438 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 12.
The square root of 131141010 is about 11451.6815359143. The cubic root of 131141010 is about 508.0574701964.
Adding to 131141010 its reverse (10141131), we get a palindrome (141282141).
It can be divided in two parts, 131 and 141010, that added together give a palindrome (141141).
The spelling of 131141010 in words is "one hundred thirty-one million, one hundred forty-one thousand, ten".
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