Base | Representation |
---|---|
bin | 110010000001101110100001… |
… | …100111101100110101010110 |
3 | 1001212000210122212120122002000 |
4 | 302001232201213230311112 |
5 | 212314311002302224342 |
6 | 2055540130320300130 |
7 | 64225664342600451 |
oct | 6201564147546526 |
9 | 1055023585518060 |
10 | 220021001211222 |
11 | 641184232801a2 |
12 | 20815664171646 |
13 | 959cb784bcb03 |
14 | 3c4910510c498 |
15 | 1a683b7a1144c |
hex | c81ba19ecd56 |
220021001211222 has 128 divisors (see below), whose sum is σ = 501212240363520. Its totient is φ = 71522299537920.
The previous prime is 220021001211169. The next prime is 220021001211257. The reversal of 220021001211222 is 222112100120022.
It is a happy number.
220021001211222 is a `hidden beast` number, since 2 + 20 + 0 + 210 + 0 + 1 + 211 + 222 = 666.
220021001211222 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-3 number, since 3×2200210012112223 (a number of 44 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 220021001211195 and 220021001211204.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 348419947 + ... + 349050857.
It is an arithmetic number, because the mean of its divisors is an integer number (3915720627840).
Almost surely, 2220021001211222 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 220021001211222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250606120181760).
220021001211222 is an abundant number, since it is smaller than the sum of its proper divisors (281191239152298).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
220021001211222 is a wasteful number, since it uses less digits than its factorization.
220021001211222 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 631955 (or 631949 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 18.
Adding to 220021001211222 its reverse (222112100120022), we get a palindrome (442133101331244).
The spelling of 220021001211222 in words is "two hundred twenty trillion, twenty-one billion, one million, two hundred eleven thousand, two hundred twenty-two".
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