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20201011222201 = 2910136929186761
BaseRepresentation
bin1001001011111011010100…
…00110010001011010111001
32122112012100012112121020021
410211331222012101122321
510121433132333102301
6110544114430130441
74153321614146365
oct445755206213271
978465305477207
1020201011222201
116489223217467
122323111950a21
13b36c40c6c034
144dba3c76c2a5
1525071bea68a1
hex125f6a1916b9

20201011222201 has 16 divisors (see below), whose sum is σ = 21105189219600. Its totient is φ = 19310685184000.

The previous prime is 20201011222111. The next prime is 20201011222213. The reversal of 20201011222201 is 10222211010202.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 909801207225 + 19291210014976 = 953835^2 + 4392176^2 .

It is not a de Polignac number, because 20201011222201 - 213 = 20201011214009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20201011222001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108071661 + ... + 108258421.

It is an arithmetic number, because the mean of its divisors is an integer number (1319074326225).

Almost surely, 220201011222201 is an apocalyptic number.

It is an amenable number.

20201011222201 is a deficient number, since it is larger than the sum of its proper divisors (904177997399).

20201011222201 is a wasteful number, since it uses less digits than its factorization.

20201011222201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223820.

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

Adding to 20201011222201 its reverse (10222211010202), we get a palindrome (30423222232403).

The spelling of 20201011222201 in words is "twenty trillion, two hundred one billion, eleven million, two hundred twenty-two thousand, two hundred one".

Divisors: 1 29 101 2929 36929 186761 1070941 3729829 5416069 18862861 108165041 547022969 6896896969 200010012101 696586593869 20201011222201