Base | Representation |
---|---|
bin | 1111100111011… |
… | …10011101010000 |
3 | 100010111111102012 |
4 | 13303232131100 |
5 | 232014001034 |
6 | 20555442052 |
7 | 3150324422 |
oct | 763563520 |
9 | 303444365 |
10 | 131000144 |
11 | 67a45390 |
12 | 37a56328 |
13 | 211a8aa2 |
14 | 13580812 |
15 | b779cce |
hex | 7cee750 |
131000144 has 40 divisors (see below), whose sum is σ = 278607168. Its totient is φ = 59175680.
The previous prime is 131000087. The next prime is 131000161. The reversal of 131000144 is 441000131.
It is a happy number.
It is a super-2 number, since 2×1310001442 = 34322075456041472, which contains 22 as substring.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27164 + ... + 31620.
Almost surely, 2131000144 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 131000144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139303584).
131000144 is an abundant number, since it is smaller than the sum of its proper divisors (147607024).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131000144 is a wasteful number, since it uses less digits than its factorization.
131000144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4643 (or 4637 counting only the distinct ones).
The product of its (nonzero) digits is 48, while the sum is 14.
The square root of 131000144 is about 11445.5294329271. The cubic root of 131000144 is about 507.8754939049.
Adding to 131000144 its reverse (441000131), we get a palindrome (572000275).
The spelling of 131000144 in words is "one hundred thirty-one million, one hundred forty-four", and thus it is an aban number.
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