Base | Representation |
---|---|
bin | 110000000001101100000001… |
… | …011100111101101101110100 |
3 | 1000200212122110202100012022201 |
4 | 300001230001130331231310 |
5 | 210141131102040120040 |
6 | 2025122052044434244 |
7 | 62330205354146110 |
oct | 6001540134755564 |
9 | 1020778422305281 |
10 | 211222221020020 |
11 | 61335928239711 |
12 | 1b834346548984 |
13 | 90b222958ab52 |
14 | 3a232d2512740 |
15 | 1964594908a9a |
hex | c01b0173db74 |
211222221020020 has 96 divisors (see below), whose sum is σ = 509899129044480. Its totient is φ = 71996296020480.
The previous prime is 211222221020017. The next prime is 211222221020023. The reversal of 211222221020020 is 20020122222112.
It is an interprime number because it is at equal distance from previous prime (211222221020017) and next prime (211222221020023).
It is a super-2 number, since 2×2112222210200202 (a number of 29 digits) contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 211222221020020.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (211222221020023) 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, 16838785 + ... + 26570455.
It is an arithmetic number, because the mean of its divisors is an integer number (5311449260880).
Almost surely, 2211222221020020 is an apocalyptic number.
211222221020020 is a gapful number since it is divisible by the number (20) 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 211222221020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254949564522240).
211222221020020 is an abundant number, since it is smaller than the sum of its proper divisors (298676908024460).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
211222221020020 is a wasteful number, since it uses less digits than its factorization.
211222221020020 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 9732593 (or 9732591 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 19.
Adding to 211222221020020 its reverse (20020122222112), we get a palindrome (231242343242132).
The spelling of 211222221020020 in words is "two hundred eleven trillion, two hundred twenty-two billion, two hundred twenty-one million, twenty thousand, twenty".
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