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2201000022233 is a prime number
BaseRepresentation
bin100000000001110101110…
…100110001000011011001
321210102011110211221001222
4200001311310301003121
5242030122001202413
64403043033021425
7315005555334545
oct40016564610331
97712143757058
102201000022233
11779491150541
122b669a554875
1312c726aca87c
14787596c6a25
153c3be139b08
hex20075d310d9

2201000022233 has 2 divisors, whose sum is σ = 2201000022234. Its totient is φ = 2201000022232.

The previous prime is 2201000022209. The next prime is 2201000022251. The reversal of 2201000022233 is 3322200001022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2198790740224 + 2209282009 = 1482832^2 + 47003^2 .

It is a cyclic number.

It is not a de Polignac number, because 2201000022233 - 222 = 2200995827929 is a prime.

It is not a weakly prime, because it can be changed into another prime (2201000022283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1100500011116 + 1100500011117.

It is an arithmetic number, because the mean of its divisors is an integer number (1100500011117).

Almost surely, 22201000022233 is an apocalyptic number.

It is an amenable number.

2201000022233 is a deficient number, since it is larger than the sum of its proper divisors (1).

2201000022233 is an equidigital number, since it uses as much as digits as its factorization.

2201000022233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 2201000022233 its reverse (3322200001022), we get a palindrome (5523200023255).

The spelling of 2201000022233 in words is "two trillion, two hundred one billion, twenty-two thousand, two hundred thirty-three".