Base | Representation |
---|---|
bin | 10010101000010000… |
… | …00000100001010100 |
3 | 221211000020200212000 |
4 | 21110020000201110 |
5 | 130440314220040 |
6 | 4332230555300 |
7 | 502561550256 |
oct | 112410004124 |
9 | 27730220760 |
10 | 10001320020 |
11 | 427253683a |
12 | 1b31508b30 |
13 | c35060253 |
14 | 6ac3c7cd6 |
15 | 3d806e130 |
hex | 254200854 |
10001320020 has 96 divisors (see below), whose sum is σ = 31177923840. Its totient is φ = 2661644160.
The previous prime is 10001320019. The next prime is 10001320027. The reversal of 10001320020 is 2002310001.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a junction number, because it is equal to n+sod(n) for n = 10001319984 and 10001320011.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10001320027) 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, 253210 + ... + 290030.
It is an arithmetic number, because the mean of its divisors is an integer number (324770040).
Almost surely, 210001320020 is an apocalyptic number.
10001320020 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 10001320020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15588961920).
10001320020 is an abundant number, since it is smaller than the sum of its proper divisors (21176603820).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10001320020 is a wasteful number, since it uses less digits than its factorization.
10001320020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 37342 (or 37334 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 9.
Adding to 10001320020 its reverse (2002310001), we get a palindrome (12003630021).
The spelling of 10001320020 in words is "ten billion, one million, three hundred twenty thousand, twenty".
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