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130200252 = 223721317033
BaseRepresentation
bin1111100001010…
…11001010111100
3100001222212011120
413300223022330
5231312402002
620530350540
73140453400
oct760531274
9301885146
10130200252
1167549416
123772b450
1320c88990
1413413100
15b66ccbc
hex7c2b2bc

130200252 has 72 divisors (see below), whose sum is σ = 380607696. Its totient is φ = 34336512.

The previous prime is 130200247. The next prime is 130200271. The reversal of 130200252 is 252002031.

130200252 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 873 + ... + 16160.

It is an arithmetic number, because the mean of its divisors is an integer number (5286218).

Almost surely, 2130200252 is an apocalyptic number.

130200252 is a gapful number since it is divisible by the number (12) 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 130200252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190303848).

130200252 is an abundant number, since it is smaller than the sum of its proper divisors (250407444).

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

130200252 is a wasteful number, since it uses less digits than its factorization.

130200252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17067 (or 17058 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 130200252 is about 11410.5325029115. The cubic root of 130200252 is about 506.8396802565.

Adding to 130200252 its reverse (252002031), we get a palindrome (382202283).

The spelling of 130200252 in words is "one hundred thirty million, two hundred thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 147 156 182 196 273 294 364 546 588 637 1092 1274 1911 2548 3822 7644 17033 34066 51099 68132 102198 119231 204396 221429 238462 357693 442858 476924 664287 715386 834617 885716 1328574 1430772 1550003 1669234 2503851 2657148 3100006 3338468 4650009 5007702 6200012 9300018 10015404 10850021 18600036 21700042 32550063 43400084 65100126 130200252