Base | Representation |
---|---|
bin | 111101000100011000… |
… | …0010111111101101000 |
3 | 110112111121110001100212 |
4 | 1322020300113331220 |
5 | 4122040202320240 |
6 | 140125122120252 |
7 | 12321566342621 |
oct | 1721060277550 |
9 | 415447401325 |
10 | 131143401320 |
11 | 506880384a8 |
12 | 214bb7b0088 |
13 | c49ca40269 |
14 | 64c12a4a48 |
15 | 362841e165 |
hex | 1e88c17f68 |
131143401320 has 96 divisors (see below), whose sum is σ = 311695688520. Its totient is φ = 49652490240.
The previous prime is 131143401239. The next prime is 131143401329. The reversal of 131143401320 is 23104341131.
It can be written as a sum of positive squares in 4 ways, for example, as 45461915524 + 85681485796 = 213218^2 + 292714^2 .
It is not an unprimeable number, because it can be changed into a prime (131143401329) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19649504 + ... + 19656176.
Almost surely, 2131143401320 is an apocalyptic number.
131143401320 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 131143401320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155847844260).
131143401320 is an abundant number, since it is smaller than the sum of its proper divisors (180552287200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131143401320 is a wasteful number, since it uses less digits than its factorization.
131143401320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8083 (or 8060 counting only the distinct ones).
The product of its (nonzero) digits is 864, while the sum is 23.
Adding to 131143401320 its reverse (23104341131), we get a palindrome (154247742451).
The spelling of 131143401320 in words is "one hundred thirty-one billion, one hundred forty-three million, four hundred one thousand, three hundred twenty".
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