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103130000 = 245410313
BaseRepresentation
bin1100010010110…
…10001110010000
321012001112202122
412021122032100
5202400130000
614122233412
72361406361
oct611321620
9235045678
10103130000
115323a106
122a655868
131849b38c
14d9a7b68
1590c2085
hex625a390

103130000 has 50 divisors (see below), whose sum is σ = 249712254. Its totient is φ = 41248000.

The previous prime is 103129993. The next prime is 103130021. The reversal of 103130000 is 31301.

It can be written as a sum of positive squares in 5 ways, for example, as 44943616 + 58186384 = 6704^2 + 7628^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 103130000.

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 9 ways as a sum of consecutive naturals, for example, 4844 + ... + 15156.

Almost surely, 2103130000 is an apocalyptic number.

103130000 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 103130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124856127).

103130000 is an abundant number, since it is smaller than the sum of its proper divisors (146582254).

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

103130000 is an equidigital number, since it uses as much as digits as its factorization.

103130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10341 (or 10320 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 8.

The square root of 103130000 is about 10155.2941857929. The cubic root of 103130000 is about 468.9519426181.

Adding to 103130000 its reverse (31301), we get a palindrome (103161301).

The spelling of 103130000 in words is "one hundred three million, one hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 10313 20626 41252 51565 82504 103130 165008 206260 257825 412520 515650 825040 1031300 1289125 2062600 2578250 4125200 5156500 6445625 10313000 12891250 20626000 25782500 51565000 103130000