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1022012220221 = 317230013389
BaseRepresentation
bin11101101111101001010…
…11001110001100111101
310121200222210022001221122
432313310223032030331
5113221040112021341
62101301140440325
7133560262352126
oct16676453161475
93550883261848
101022012220221
11364484288833
121460a59a90a5
13754b5808b15
1437673a8904d
151b8b8eaa94b
hexedf4ace33d

1022012220221 has 12 divisors (see below), whose sum is σ = 1025890661460. Its totient is φ = 1018148208000.

The previous prime is 1022012220211. The next prime is 1022012220241. The reversal of 1022012220221 is 1220222102201.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 49048960900 + 972963259321 = 221470^2 + 986389^2 .

It is not a de Polignac number, because 1022012220221 - 234 = 1004832351037 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1022012220221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022012220211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 301565795 + ... + 301569183.

It is an arithmetic number, because the mean of its divisors is an integer number (85490888455).

Almost surely, 21022012220221 is an apocalyptic number.

It is an amenable number.

1022012220221 is a deficient number, since it is larger than the sum of its proper divisors (3878441239).

1022012220221 is an frugal number, since it uses more digits than its factorization.

1022012220221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7024 (or 6707 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 1022012220221 its reverse (1220222102201), we get a palindrome (2242234322422).

The spelling of 1022012220221 in words is "one trillion, twenty-two billion, twelve million, two hundred twenty thousand, two hundred twenty-one".

Divisors: 1 317 3001 3389 100489 951317 1074313 10170389 301567489 340557221 3224013313 1022012220221