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2022200001137 is a prime number
BaseRepresentation
bin11101011011010100100…
…000110100001001110001
321011022122121001202102102
4131123110200310021301
5231112431200014022
64144552540030145
7266046000254321
oct35332440641161
97138577052372
102022200001137
1170a679200268
12287aba832355
13118900971014
146dc37013281
1537906e65a92
hex1d6d4834271

2022200001137 has 2 divisors, whose sum is σ = 2022200001138. Its totient is φ = 2022200001136.

The previous prime is 2022200001091. The next prime is 2022200001161. The reversal of 2022200001137 is 7311000022202.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2022172164961 + 27836176 = 1422031^2 + 5276^2 .

It is a cyclic number.

It is not a de Polignac number, because 2022200001137 - 210 = 2022200000113 is a prime.

It is not a weakly prime, because it can be changed into another prime (2022200001187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1011100000568 + 1011100000569.

It is an arithmetic number, because the mean of its divisors is an integer number (1011100000569).

Almost surely, 22022200001137 is an apocalyptic number.

It is an amenable number.

2022200001137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2022200001137 is an equidigital number, since it uses as much as digits as its factorization.

2022200001137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 336, while the sum is 20.

Adding to 2022200001137 its reverse (7311000022202), we get a palindrome (9333200023339).

The spelling of 2022200001137 in words is "two trillion, twenty-two billion, two hundred million, one thousand, one hundred thirty-seven".