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2201011121 is a prime number
BaseRepresentation
bin1000001100110000…
…1100001110110001
312200101120221122102
42003030030032301
514001424323441
61002223150145
7105354200021
oct20314141661
95611527572
102201011121
11a2a460261
12515145355
13290cc695a
1416c461a81
15cd36b69b
hex8330c3b1

2201011121 has 2 divisors, whose sum is σ = 2201011122. Its totient is φ = 2201011120.

The previous prime is 2201011117. The next prime is 2201011123. The reversal of 2201011121 is 1211101022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2196328225 + 4682896 = 46865^2 + 2164^2 .

It is a cyclic number.

It is not a de Polignac number, because 2201011121 - 22 = 2201011117 is a prime.

Together with 2201011123, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2201011123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1100505560 + 1100505561.

It is an arithmetic number, because the mean of its divisors is an integer number (1100505561).

Almost surely, 22201011121 is an apocalyptic number.

It is an amenable number.

2201011121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2201011121 is an equidigital number, since it uses as much as digits as its factorization.

2201011121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 11.

The square root of 2201011121 is about 46914.9349461342. The cubic root of 2201011121 is about 1300.7906671406.

Adding to 2201011121 its reverse (1211101022), we get a palindrome (3412112143).

The spelling of 2201011121 in words is "two billion, two hundred one million, eleven thousand, one hundred twenty-one".