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130125320 = 23513298629
BaseRepresentation
bin1111100000110…
…00111000001000
3100001212001101022
413300120320020
5231303002240
620525012012
73140022053
oct760307010
9301761338
10130125320
11674a8096
12376b4008
1320c60840
14133d3a9a
15b6559b5
hex7c18e08

130125320 has 64 divisors (see below), whose sum is σ = 326214000. Its totient is φ = 46384128.

The previous prime is 130125301. The next prime is 130125367. The reversal of 130125320 is 23521031.

It can be written as a sum of positive squares in 8 ways, for example, as 50665924 + 79459396 = 7118^2 + 8914^2 .

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 15 ways as a sum of consecutive naturals, for example, 10766 + ... + 19394.

Almost surely, 2130125320 is an apocalyptic number.

130125320 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 130125320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163107000).

130125320 is an abundant number, since it is smaller than the sum of its proper divisors (196088680).

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

130125320 is a wasteful number, since it uses less digits than its factorization.

130125320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8682 (or 8678 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 130125320 is about 11407.2485727278. The cubic root of 130125320 is about 506.7424305754.

Adding to 130125320 its reverse (23521031), we get a palindrome (153646351).

The spelling of 130125320 in words is "one hundred thirty million, one hundred twenty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 29 40 52 58 65 104 116 130 145 232 260 290 377 520 580 754 1160 1508 1885 3016 3770 7540 8629 15080 17258 34516 43145 69032 86290 112177 172580 224354 250241 345160 448708 500482 560885 897416 1000964 1121770 1251205 2001928 2243540 2502410 3253133 4487080 5004820 6506266 10009640 13012532 16265665 26025064 32531330 65062660 130125320