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22223313201289 is a prime number
BaseRepresentation
bin1010000110110010001001…
…01100000110100010001001
32220200112020220111101002211
411003121010230012202021
510403101321134420124
6115133125452025121
74452403263304564
oct503310454064211
986615226441084
1022223313201289
117098943a3a222
1225ab03a7621a1
13c52859a96c25
1456b8851294db
1528812cd62e94
hex143644b06889

22223313201289 has 2 divisors, whose sum is σ = 22223313201290. Its totient is φ = 22223313201288.

The previous prime is 22223313201179. The next prime is 22223313201379. The reversal of 22223313201289 is 98210231332222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21962532416400 + 260780784889 = 4686420^2 + 510667^2 .

It is a cyclic number.

It is not a de Polignac number, because 22223313201289 - 227 = 22223178983561 is a prime.

It is not a weakly prime, because it can be changed into another prime (22223313202289) 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, 11111656600644 + 11111656600645.

It is an arithmetic number, because the mean of its divisors is an integer number (11111656600645).

Almost surely, 222223313201289 is an apocalyptic number.

It is an amenable number.

22223313201289 is a deficient number, since it is larger than the sum of its proper divisors (1).

22223313201289 is an equidigital number, since it uses as much as digits as its factorization.

22223313201289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 124416, while the sum is 40.

The spelling of 22223313201289 in words is "twenty-two trillion, two hundred twenty-three billion, three hundred thirteen million, two hundred one thousand, two hundred eighty-nine".