Base | Representation |
---|---|
bin | 10010110100000001… |
… | …11010010110001100 |
3 | 222001220011102002101 |
4 | 21122000322112030 |
5 | 131141112414040 |
6 | 4350120404444 |
7 | 505201425541 |
oct | 113200722614 |
9 | 28056142071 |
10 | 10100123020 |
11 | 431328aa09 |
12 | 1b5a616724 |
13 | c4c674c70 |
14 | 6bb586bc8 |
15 | 3e1a8909a |
hex | 25a03a58c |
10100123020 has 96 divisors (see below), whose sum is σ = 23702063616. Its totient is φ = 3590092800.
The previous prime is 10100123017. The next prime is 10100123029. The reversal of 10100123020 is 2032100101.
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 = 10100122988 and 10100123006.
It is not an unprimeable number, because it can be changed into a prime (10100123029) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1584640 + ... + 1591000.
It is an arithmetic number, because the mean of its divisors is an integer number (246896496).
Almost surely, 210100123020 is an apocalyptic number.
10100123020 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 10100123020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11851031808).
10100123020 is an abundant number, since it is smaller than the sum of its proper divisors (13601940596).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10100123020 is a wasteful number, since it uses less digits than its factorization.
10100123020 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6611 (or 6609 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 10.
Adding to 10100123020 its reverse (2032100101), we get a palindrome (12132223121).
The spelling of 10100123020 in words is "ten billion, one hundred million, one hundred twenty-three thousand, twenty".
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