Base | Representation |
---|---|
bin | 101111011111111011… |
… | …0100100001011010100 |
3 | 100202021202122021201122 |
4 | 1132333312210023110 |
5 | 3132400232000040 |
6 | 114505354143112 |
7 | 10240505123465 |
oct | 1367766441324 |
9 | 322252567648 |
10 | 102003000020 |
11 | 3a294041719 |
12 | 17928721a98 |
13 | 980779745c |
14 | 4d1909ad6c |
15 | 29beee11b5 |
hex | 17bfda42d4 |
102003000020 has 24 divisors (see below), whose sum is σ = 214813131624. Its totient is φ = 40685613056.
The previous prime is 102002999963. The next prime is 102003000037. The reversal of 102003000020 is 20000300201.
It can be written as a sum of positive squares in 4 ways, for example, as 20242460176 + 81760539844 = 142276^2 + 285938^2 .
It is a super-2 number, since 2×1020030000202 (a number of 23 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 102002999971 and 102003000007.
It is a congruent number.
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, 7216949 + ... + 7231068.
It is an arithmetic number, because the mean of its divisors is an integer number (8950547151).
Almost surely, 2102003000020 is an apocalyptic number.
102003000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
102003000020 is an abundant number, since it is smaller than the sum of its proper divisors (112810131604).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
102003000020 is a wasteful number, since it uses less digits than its factorization.
102003000020 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 14448379 (or 14448377 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 8.
Adding to 102003000020 its reverse (20000300201), we get a palindrome (122003300221).
The spelling of 102003000020 in words is "one hundred two billion, three million, twenty", and thus it is an aban number.
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