Base | Representation |
---|---|
bin | 1100001111001000010… |
… | …1110001110101100000 |
3 | 202002121121002001212020 |
4 | 3003302011301311200 |
5 | 11421012312000303 |
6 | 240323532501440 |
7 | 21121306532466 |
oct | 3036205616540 |
9 | 662547061766 |
10 | 210220031328 |
11 | 811767aaa8a |
12 | 348aa31a880 |
13 | 16a927883a8 |
14 | a26355c836 |
15 | 57057e6a53 |
hex | 30f2171d60 |
210220031328 has 96 divisors (see below), whose sum is σ = 563742789120. Its totient is φ = 68561226240.
The previous prime is 210220031327. The next prime is 210220031387. The reversal of 210220031328 is 823130022012.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a junction number, because it is equal to n+sod(n) for n = 210220031298 and 210220031307.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (210220031321) by changing a digit.
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, 22144663 + ... + 22154153.
It is an arithmetic number, because the mean of its divisors is an integer number (5872320720).
Almost surely, 2210220031328 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 210220031328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281871394560).
210220031328 is an abundant number, since it is smaller than the sum of its proper divisors (353522757792).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
210220031328 is a wasteful number, since it uses less digits than its factorization.
210220031328 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 14460 (or 14452 counting only the distinct ones).
The product of its (nonzero) digits is 1152, while the sum is 24.
The spelling of 210220031328 in words is "two hundred ten billion, two hundred twenty million, thirty-one thousand, three hundred twenty-eight".
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