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130313000 = 2353151863
BaseRepresentation
bin1111100010001…
…10101100101000
3100002012120211102
413301012230220
5231330004000
620533020532
73141433166
oct761065450
9302176742
10130313000
11676160a4
1237784748
1320cc80ac
1413442236
15b6913d5
hex7c46b28

130313000 has 64 divisors (see below), whose sum is σ = 307307520. Its totient is φ = 51720000.

The previous prime is 130312993. The next prime is 130313003. The reversal of 130313000 is 313031.

It is not an unprimeable number, because it can be changed into a prime (130313003) 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 15 ways as a sum of consecutive naturals, for example, 150569 + ... + 151431.

It is an arithmetic number, because the mean of its divisors is an integer number (4801680).

Almost surely, 2130313000 is an apocalyptic number.

130313000 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 130313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153653760).

130313000 is an abundant number, since it is smaller than the sum of its proper divisors (176994520).

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

130313000 is a wasteful number, since it uses less digits than its factorization.

130313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 11.

The square root of 130313000 is about 11415.4719569539. The cubic root of 130313000 is about 506.9859387371.

Adding to 130313000 its reverse (313031), we get a palindrome (130626031).

The spelling of 130313000 in words is "one hundred thirty million, three hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 151 200 250 302 500 604 755 863 1000 1208 1510 1726 3020 3452 3775 4315 6040 6904 7550 8630 15100 17260 18875 21575 30200 34520 37750 43150 75500 86300 107875 130313 151000 172600 215750 260626 431500 521252 651565 863000 1042504 1303130 2606260 3257825 5212520 6515650 13031300 16289125 26062600 32578250 65156500 130313000