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2206564121 is a prime number
BaseRepresentation
bin1000001110000101…
…0111111100011001
312200210001001221002
42003201113330121
514004340022441
61002542154345
7105452325356
oct20341277431
95623031832
102206564121
11a32603313
12516b829b5
132921bc358
1416d0a962d
15cdab6b9b
hex83857f19

2206564121 has 2 divisors, whose sum is σ = 2206564122. Its totient is φ = 2206564120.

The previous prime is 2206564091. The next prime is 2206564123. The reversal of 2206564121 is 1214656022.

2206564121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2203363600 + 3200521 = 46940^2 + 1789^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2206564121 is a prime.

Together with 2206564123, 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 (2206564123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1103282060 + 1103282061.

It is an arithmetic number, because the mean of its divisors is an integer number (1103282061).

Almost surely, 22206564121 is an apocalyptic number.

It is an amenable number.

2206564121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2206564121 is an equidigital number, since it uses as much as digits as its factorization.

2206564121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 2206564121 is about 46974.0792458990. The cubic root of 2206564121 is about 1301.8836836462.

The spelling of 2206564121 in words is "two billion, two hundred six million, five hundred sixty-four thousand, one hundred twenty-one".