Base | Representation |
---|---|
bin | 1111101010100… |
… | …00010110100000 |
3 | 100011020212110011 |
4 | 13311100112200 |
5 | 232114313440 |
6 | 21012214304 |
7 | 3153614434 |
oct | 765202640 |
9 | 304225404 |
10 | 131401120 |
11 | 68199674 |
12 | 3800a394 |
13 | 212b9456 |
14 | 136469c4 |
15 | b8089ea |
hex | 7d505a0 |
131401120 has 96 divisors (see below), whose sum is σ = 323326080. Its totient is φ = 50426880.
The previous prime is 131401103. The next prime is 131401129. The reversal of 131401120 is 21104131.
It is a self number, because there is not a number n which added to its sum of digits gives 131401120.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (131401129) 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, 488346 + ... + 488614.
It is an arithmetic number, because the mean of its divisors is an integer number (3367980).
Almost surely, 2131401120 is an apocalyptic number.
131401120 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 131401120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161663040).
131401120 is an abundant number, since it is smaller than the sum of its proper divisors (191924960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131401120 is a wasteful number, since it uses less digits than its factorization.
131401120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 398 (or 390 counting only the distinct ones).
The product of its (nonzero) digits is 24, while the sum is 13.
The square root of 131401120 is about 11463.0327575210. The cubic root of 131401120 is about 508.3931484452.
Adding to 131401120 its reverse (21104131), we get a palindrome (152505251).
The spelling of 131401120 in words is "one hundred thirty-one million, four hundred one thousand, one hundred twenty".
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