Base | Representation |
---|---|
bin | 110000000001100000… |
… | …1101111001001010000 |
3 | 100212012022021220210201 |
4 | 1200003001233021100 |
5 | 3142202240031000 |
6 | 115213253504544 |
7 | 10310441360524 |
oct | 1400301571120 |
9 | 325168256721 |
10 | 103130002000 |
11 | 3a812219a13 |
12 | 17ba2042154 |
13 | 995711062c |
14 | 4dc4a27d84 |
15 | 2a38e0c96a |
hex | 180306f250 |
103130002000 has 40 divisors (see below), whose sum is σ = 249368349672. Its totient is φ = 41252000000.
The previous prime is 103130001991. The next prime is 103130002007. The reversal of 103130002000 is 200031301.
It can be written as a sum of positive squares in 4 ways, for example, as 3965472784 + 99164529216 = 62972^2 + 314904^2 .
It is a tau number, because it is divible by the number of its divisors (40).
It is a Harshad number since it is a multiple of its sum of digits (10).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (103130002007) 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 7 ways as a sum of consecutive naturals, for example, 25780501 + ... + 25784500.
Almost surely, 2103130002000 is an apocalyptic number.
103130002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
103130002000 is an abundant number, since it is smaller than the sum of its proper divisors (146238347672).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
103130002000 is an equidigital number, since it uses as much as digits as its factorization.
103130002000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 51565024 (or 51565008 counting only the distinct ones).
The product of its (nonzero) digits is 18, while the sum is 10.
Adding to 103130002000 its reverse (200031301), we get a palindrome (103330033301).
The spelling of 103130002000 in words is "one hundred three billion, one hundred thirty million, two thousand".
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