Base | Representation |
---|---|
bin | 111101000001000101… |
… | …1001110100001010100 |
3 | 110112012220201002020211 |
4 | 1322002023032201110 |
5 | 4121323422000040 |
6 | 140110135535204 |
7 | 12316056060136 |
oct | 1720213164124 |
9 | 415186632224 |
10 | 131033000020 |
11 | 5063079235a |
12 | 2148a82a504 |
13 | c482bc7350 |
14 | 64b0767056 |
15 | 361d8b28ea |
hex | 1e822ce854 |
131033000020 has 48 divisors (see below), whose sum is σ = 296366570640. Its totient is φ = 48376452096.
The previous prime is 131033000017. The next prime is 131033000029. The reversal of 131033000020 is 20000330131.
131033000020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 8 ways, for example, as 20301120324 + 110731879696 = 142482^2 + 332764^2 .
It is a Harshad number since it is a multiple of its sum of digits (13).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (131033000029) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3369246 + ... + 3407914.
It is an arithmetic number, because the mean of its divisors is an integer number (6174303555).
Almost surely, 2131033000020 is an apocalyptic number.
131033000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
131033000020 is an abundant number, since it is smaller than the sum of its proper divisors (165333570620).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131033000020 is a wasteful number, since it uses less digits than its factorization.
131033000020 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 51724 (or 51722 counting only the distinct ones).
The product of its (nonzero) digits is 54, while the sum is 13.
Adding to 131033000020 its reverse (20000330131), we get a palindrome (151033330151).
The spelling of 131033000020 in words is "one hundred thirty-one billion, thirty-three million, twenty", and thus it is an aban number.
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