Base | Representation |
---|---|
bin | 1111101000010… |
… | …01010001110000 |
3 | 100010201002002221 |
4 | 13310021101300 |
5 | 232031010000 |
6 | 21002050424 |
7 | 3151262620 |
oct | 764112160 |
9 | 303632087 |
10 | 131110000 |
11 | 6800a97a |
12 | 37aa9a14 |
13 | 21216aa8 |
14 | 135ac880 |
15 | b79c61a |
hex | 7d09470 |
131110000 has 100 divisors (see below), whose sum is σ = 362971312. Its totient is φ = 44928000.
The previous prime is 131109991. The next prime is 131110003. The reversal of 131110000 is 11131.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (100).
It is a Harshad number since it is a multiple of its sum of digits (7).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (131110003) by changing a digit.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 69064 + ... + 70936.
Almost surely, 2131110000 is an apocalyptic number.
131110000 is a gapful number since it is divisible by the number (10) 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 131110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181485656).
131110000 is an abundant number, since it is smaller than the sum of its proper divisors (231861312).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131110000 is an equidigital number, since it uses as much as digits as its factorization.
131110000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1908 (or 1887 counting only the distinct ones).
The product of its (nonzero) digits is 3, while the sum is 7.
The square root of 131110000 is about 11450.3275062332. The cubic root of 131110000 is about 508.0174214374.
Adding to 131110000 its reverse (11131), we get a palindrome (131121131).
It can be divided in two parts, 1311 and 10000, that added together give a palindrome (11311).
The spelling of 131110000 in words is "one hundred thirty-one million, one hundred ten thousand".
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