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2022100012249 is a prime number
BaseRepresentation
bin11101011011001110100…
…011011000110011011001
321011022101121220210110021
4131123032203120303121
5231112230100342444
64144535004550441
7266043344336452
oct35331643306331
97138347823407
102022100012249
1170a627817119
12287a91252421
131188b60325b5
146dc27a26129
15378ed2b4584
hex1d6ce8d8cd9

2022100012249 has 2 divisors, whose sum is σ = 2022100012250. Its totient is φ = 2022100012248.

The previous prime is 2022100012171. The next prime is 2022100012253. The reversal of 2022100012249 is 9422100012202.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1122508465225 + 899591547024 = 1059485^2 + 948468^2 .

It is a cyclic number.

It is not a de Polignac number, because 2022100012249 - 211 = 2022100010201 is a prime.

It is not a weakly prime, because it can be changed into another prime (2022100012259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1011050006124 + 1011050006125.

It is an arithmetic number, because the mean of its divisors is an integer number (1011050006125).

Almost surely, 22022100012249 is an apocalyptic number.

It is an amenable number.

2022100012249 is a deficient number, since it is larger than the sum of its proper divisors (1).

2022100012249 is an equidigital number, since it uses as much as digits as its factorization.

2022100012249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 25.

The spelling of 2022100012249 in words is "two trillion, twenty-two billion, one hundred million, twelve thousand, two hundred forty-nine".