Base | Representation |
---|---|
bin | 10011001101000011… |
… | …11111001001010100 |
3 | 222121112022100211001 |
4 | 21212201333021110 |
5 | 132103342320040 |
6 | 4423021353044 |
7 | 513331400644 |
oct | 114641771124 |
9 | 28545270731 |
10 | 10310120020 |
11 | 4410880852 |
12 | 1bb8a08784 |
13 | c8401c645 |
14 | 6db40c524 |
15 | 40521a59a |
hex | 26687f254 |
10310120020 has 48 divisors (see below), whose sum is σ = 22411443600. Its totient is φ = 3979422720.
The previous prime is 10310120011. The next prime is 10310120077. The reversal of 10310120020 is 2002101301.
10310120020 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 8 ways, for example, as 17205904 + 10292914116 = 4148^2 + 101454^2 .
It is a Harshad number since it is a multiple of its sum of digits (10).
It is a junction number, because it is equal to n+sod(n) for n = 10310119979 and 10310120006.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1172440 + ... + 1181200.
It is an arithmetic number, because the mean of its divisors is an integer number (466905075).
Almost surely, 210310120020 is an apocalyptic number.
10310120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
10310120020 is an abundant number, since it is smaller than the sum of its proper divisors (12101323580).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10310120020 is a wasteful number, since it uses less digits than its factorization.
10310120020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10828 (or 10826 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 10.
Adding to 10310120020 its reverse (2002101301), we get a palindrome (12312221321).
The spelling of 10310120020 in words is "ten billion, three hundred ten million, one hundred twenty thousand, twenty".
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