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1010130320 = 24529435401
BaseRepresentation
bin111100001101010…
…101110110010000
32121101201221022002
4330031111312100
54032043132240
6244122333132
734013652233
oct7415256620
92541657262
101010130320
11479212951
1224235a1a8
13131376164
149822741a
155da32d15
hex3c355d90

1010130320 has 40 divisors (see below), whose sum is σ = 2429543160. Its totient is φ = 390118400.

The previous prime is 1010130313. The next prime is 1010130343. The reversal of 1010130320 is 230310101.

1010130320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 28686736 + 981443584 = 5356^2 + 31328^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 215381 + ... + 220020.

It is an arithmetic number, because the mean of its divisors is an integer number (60738579).

Almost surely, 21010130320 is an apocalyptic number.

1010130320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010130320 is an abundant number, since it is smaller than the sum of its proper divisors (1419412840).

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

1010130320 is a wasteful number, since it uses less digits than its factorization.

1010130320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435443 (or 435437 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 1010130320 is about 31782.5474120625. The cubic root of 1010130320 is about 1003.3654344783.

Adding to 1010130320 its reverse (230310101), we get a palindrome (1240440421).

The spelling of 1010130320 in words is "one billion, ten million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 435401 870802 1741604 2177005 3483208 4354010 6966416 8708020 12626629 17416040 25253258 34832080 50506516 63133145 101013032 126266290 202026064 252532580 505065160 1010130320