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130314516 = 22329439853
BaseRepresentation
bin1111100010001…
…11000100010100
3100002012122220120
413301013010110
5231330031031
620533031540
73141440463
oct761070424
9302178816
10130314516
1167617252
12377855b0
1320cc89a7
14134429da
15b691a96
hex7c47114

130314516 has 48 divisors (see below), whose sum is σ = 315638400. Its totient is φ = 41795712.

The previous prime is 130314493. The next prime is 130314533. The reversal of 130314516 is 615413031.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152346 + ... + 153198.

It is an arithmetic number, because the mean of its divisors is an integer number (6575800).

Almost surely, 2130314516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130314516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157819200).

130314516 is an abundant number, since it is smaller than the sum of its proper divisors (185323884).

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

130314516 is a wasteful number, since it uses less digits than its factorization.

130314516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1328 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 130314516 is about 11415.5383578699. The cubic root of 130314516 is about 506.9879047412.

Adding to 130314516 its reverse (615413031), we get a palindrome (745727547).

The spelling of 130314516 in words is "one hundred thirty million, three hundred fourteen thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 348 439 853 878 1317 1706 1756 2559 2634 3412 5118 5268 10236 12731 24737 25462 38193 49474 50924 74211 76386 98948 148422 152772 296844 374467 748934 1123401 1497868 2246802 4493604 10859543 21719086 32578629 43438172 65157258 130314516