Base | Representation |
---|---|
bin | 1111101000100… |
… | …10101000010000 |
3 | 100010210000122121 |
4 | 13310102220100 |
5 | 232033221204 |
6 | 21002544024 |
7 | 3151512400 |
oct | 764225020 |
9 | 303700577 |
10 | 131148304 |
11 | 68036731 |
12 | 37b08014 |
13 | 2122b361 |
14 | 135bc800 |
15 | b7a8b54 |
hex | 7d12a10 |
131148304 has 45 divisors (see below), whose sum is σ = 296309997. Its totient is φ = 56068992.
The previous prime is 131148293. The next prime is 131148331. The reversal of 131148304 is 403841131.
The square root of 131148304 is 11452.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in only one way, i.e., 119858704 + 11289600 = 10948^2 + 3360^2 .
It is a Duffinian number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 320452 + ... + 320860.
Almost surely, 2131148304 is an apocalyptic number.
131148304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.
131148304 is the 11452-nd square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 131148304
131148304 is an abundant number, since it is smaller than the sum of its proper divisors (165161693).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131148304 is an frugal number, since it uses more digits than its factorization.
131148304 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 840 (or 418 counting only the distinct ones).
The product of its (nonzero) digits is 1152, while the sum is 25.
The cubic root of 131148304 is about 508.0668893260.
Multiplying 131148304 by its sum of digits (25), we get a square (3278707600 = 572602).
Adding to 131148304 its reverse (403841131), we get a palindrome (534989435).
The spelling of 131148304 in words is "one hundred thirty-one million, one hundred forty-eight thousand, three hundred four".
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