Base | Representation |
---|---|
bin | 1111101001000… |
… | …01110110100000 |
3 | 100010220012011221 |
4 | 13310201312200 |
5 | 232042220111 |
6 | 21004144424 |
7 | 3152162233 |
oct | 764416640 |
9 | 303805157 |
10 | 131210656 |
11 | 68079565 |
12 | 37b38114 |
13 | 21250855 |
14 | 135d741a |
15 | b7bc371 |
hex | 7d21da0 |
131210656 has 48 divisors (see below), whose sum is σ = 276060960. Its totient is φ = 61205760.
The previous prime is 131210647. The next prime is 131210657. The reversal of 131210656 is 656012131.
It is a self number, because there is not a number n which added to its sum of digits gives 131210656.
It is not an unprimeable number, because it can be changed into a prime (131210657) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39126 + ... + 42346.
It is an arithmetic number, because the mean of its divisors is an integer number (5751270).
Almost surely, 2131210656 is an apocalyptic number.
131210656 is a gapful number since it is divisible by the number (16) 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 131210656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138030480).
131210656 is an abundant number, since it is smaller than the sum of its proper divisors (144850304).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131210656 is a wasteful number, since it uses less digits than its factorization.
131210656 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3317 (or 3309 counting only the distinct ones).
The product of its (nonzero) digits is 1080, while the sum is 25.
The square root of 131210656 is about 11454.7219957535. The cubic root of 131210656 is about 508.1473935253.
Adding to 131210656 its reverse (656012131), we get a palindrome (787222787).
It can be divided in two parts, 131210 and 656, that multiplied together give a triangular number (86073760 = T13120).
The spelling of 131210656 in words is "one hundred thirty-one million, two hundred ten thousand, six hundred fifty-six".
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