Search a number
-
+
301210112 = 297229367
BaseRepresentation
bin10001111101000…
…001101000000000
3202222210001121002
4101331001220000
51104102210422
645515551132
710315146410
oct2175015000
9688701532
10301210112
11145030685
1284a5b4a8
134a532848
142c00a640
151b69c692
hex11f41a00

301210112 has 80 divisors (see below), whose sum is σ = 692693760. Its totient is φ = 128176128.

The previous prime is 301210111. The next prime is 301210193. The reversal of 301210112 is 211012103.

It is a junction number, because it is equal to n+sod(n) for n = 301210093 and 301210102.

It is not an unprimeable number, because it can be changed into a prime (301210111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 820553 + ... + 820919.

It is an arithmetic number, because the mean of its divisors is an integer number (8658672).

Almost surely, 2301210112 is an apocalyptic number.

301210112 is a gapful number since it is divisible by the number (32) 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 301210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346346880).

301210112 is an abundant number, since it is smaller than the sum of its proper divisors (391483648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

301210112 is an equidigital number, since it uses as much as digits as its factorization.

301210112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 301210112 is about 17355.4058437134. The cubic root of 301210112 is about 670.3318412601.

Adding to 301210112 its reverse (211012103), we get a palindrome (512222215).

The spelling of 301210112 in words is "three hundred one million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 229 256 367 448 458 512 734 896 916 1468 1603 1792 1832 2569 2936 3206 3584 3664 5138 5872 6412 7328 10276 11744 12824 14656 20552 23488 25648 29312 41104 46976 51296 58624 82208 84043 93952 102592 117248 164416 168086 187904 205184 328832 336172 410368 588301 657664 672344 820736 1176602 1315328 1344688 2353204 2689376 4706408 5378752 9412816 10757504 18825632 21515008 37651264 43030016 75302528 150605056 301210112