Base | Representation |
---|---|
bin | 1111100111100… |
… | …11010101110000 |
3 | 100010112111211221 |
4 | 13303303111300 |
5 | 232020121034 |
6 | 21000114424 |
7 | 3150436633 |
oct | 763632560 |
9 | 303474757 |
10 | 131020144 |
11 | 67a59412 |
12 | 37a65a14 |
13 | 211b4c18 |
14 | 13587c1a |
15 | b780bb4 |
hex | 7cf3570 |
131020144 has 40 divisors (see below), whose sum is σ = 274044960. Its totient is φ = 60496128.
The previous prime is 131020117. The next prime is 131020151. The reversal of 131020144 is 441020131.
It is a Harshad number since it is a multiple of its sum of digits (16).
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, 4534 + ... + 16810.
It is an arithmetic number, because the mean of its divisors is an integer number (6851124).
Almost surely, 2131020144 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 131020144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137022480).
131020144 is an abundant number, since it is smaller than the sum of its proper divisors (143024816).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131020144 is a wasteful number, since it uses less digits than its factorization.
131020144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 12337 (or 12331 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 16.
The square root of 131020144 is about 11446.4031031587. The cubic root of 131020144 is about 507.9013386424.
Adding to 131020144 its reverse (441020131), we get a palindrome (572040275).
The spelling of 131020144 in words is "one hundred thirty-one million, twenty thousand, one hundred forty-four".
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