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130210314 = 231323181401
BaseRepresentation
bin1111100001011…
…01101000001010
3100002000100222020
413300231220022
5231313212224
620530505310
73140524623
oct760555012
9302010866
10130210314
1167555a33
1237735236
1320c90430
1413416a4a
15b670c79
hex7c2da0a

130210314 has 64 divisors (see below), whose sum is σ = 294997248. Its totient is φ = 38016000.

The previous prime is 130210313. The next prime is 130210343. The reversal of 130210314 is 413012031.

It is a junction number, because it is equal to n+sod(n) for n = 130210293 and 130210302.

It is not an unprimeable number, because it can be changed into a prime (130210313) 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 31 ways as a sum of consecutive naturals, for example, 324514 + ... + 324914.

It is an arithmetic number, because the mean of its divisors is an integer number (4609332).

Almost surely, 2130210314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130210314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147498624).

130210314 is an abundant number, since it is smaller than the sum of its proper divisors (164786934).

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

130210314 is a wasteful number, since it uses less digits than its factorization.

130210314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 130210314 is about 11410.9734028259. The cubic root of 130210314 is about 506.8527362719.

Adding to 130210314 its reverse (413012031), we get a palindrome (543222345).

The spelling of 130210314 in words is "one hundred thirty million, two hundred ten thousand, three hundred fourteen".

Divisors: 1 2 3 6 13 23 26 39 46 69 78 138 181 299 362 401 543 598 802 897 1086 1203 1794 2353 2406 4163 4706 5213 7059 8326 9223 10426 12489 14118 15639 18446 24978 27669 31278 54119 55338 72581 108238 119899 145162 162357 217743 239798 324714 359697 435486 719394 943553 1669363 1887106 2830659 3338726 5008089 5661318 10016178 21701719 43403438 65105157 130210314