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221211020221 = 1014637472333
BaseRepresentation
bin1100111000000100110…
…1000100101110111101
3210010222120120011011221
43032001031010232331
512111020010121341
6245342315513341
721660546435052
oct3160115045675
9703876504157
10221211020221
11858a6943684
1236a57158851
1317b24879309
14a9c7165029
155b4a6a5ed1
hex3381344bbd

221211020221 has 8 divisors (see below), whose sum is σ = 223449879384. Its totient is φ = 218973115200.

The previous prime is 221211020213. The next prime is 221211020243. The reversal of 221211020221 is 122020112122.

It is a happy number.

221211020221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 63116512900 + 158094507321 = 251230^2 + 397611^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 221211020221 - 23 = 221211020213 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 221211020195 and 221211020204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221211080221) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 232171 + ... + 704503.

It is an arithmetic number, because the mean of its divisors is an integer number (27931234923).

Almost surely, 2221211020221 is an apocalyptic number.

It is an amenable number.

221211020221 is a deficient number, since it is larger than the sum of its proper divisors (2238859163).

221211020221 is a wasteful number, since it uses less digits than its factorization.

221211020221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477071.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 221211020221 its reverse (122020112122), we get a palindrome (343231132343).

The spelling of 221211020221 in words is "two hundred twenty-one billion, two hundred eleven million, twenty thousand, two hundred twenty-one".

Divisors: 1 101 4637 468337 472333 47705633 2190208121 221211020221