| Base | Representation |
|---|---|
| bin | 1011101100110111100… |
| … | …0110010011110000000 |
| 3 | 201012212121200211011210 |
| 4 | 2323031320302132000 |
| 5 | 11243143303233210 |
| 6 | 232203142210120 |
| 7 | 20344346566500 |
| oct | 2731570623600 |
| 9 | 635777624153 |
| 10 | 201022711680 |
| 11 | 7828709766a |
| 12 | 32b62123940 |
| 13 | 15c5817bb0b |
| 14 | 9a2dc61a00 |
| 15 | 536813ee20 |
| hex | 2ecde32780 |
201022711680 has 384 divisors, whose sum is σ = 784610928000. Its totient is φ = 43529342976.
The previous prime is 201022711679. The next prime is 201022711717. The reversal of 201022711680 is 86117220102.
201022711680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (384).
It is a super-2 number, since 2×2010227116802 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (30).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1731291 + ... + 1843749.
It is an arithmetic number, because the mean of its divisors is an integer number (2043257625).
Almost surely, 2201022711680 is an apocalyptic number.
201022711680 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 201022711680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392305464000).
201022711680 is an abundant number, since it is smaller than the sum of its proper divisors (583588216320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
201022711680 is a wasteful number, since it uses less digits than its factorization.
201022711680 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 112514 (or 112495 counting only the distinct ones).
The product of its (nonzero) digits is 2688, while the sum is 30.
Adding to 201022711680 its reverse (86117220102), we get a palindrome (287139931782).
The spelling of 201022711680 in words is "two hundred one billion, twenty-two million, seven hundred eleven thousand, six hundred eighty".
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