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2200101000029 is a prime number
BaseRepresentation
bin100000000001000000001…
…111010001001101011101
321210022211211011212110022
4200001000033101031131
5242021301324000104
64402413515521525
7314644360640552
oct40010017211535
97708754155408
102200101000029
1177906a726889
122b64894592a5
1312c61278727a
14786b2142a29
153c36a252bbe
hex200403d135d

2200101000029 has 2 divisors, whose sum is σ = 2200101000030. Its totient is φ = 2200101000028.

The previous prime is 2200101000001. The next prime is 2200101000047. The reversal of 2200101000029 is 9200001010022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1843933147225 + 356167852804 = 1357915^2 + 596798^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2200101000029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2200100999980 and 2200101000016.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2200101000829) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1100050500014 + 1100050500015.

It is an arithmetic number, because the mean of its divisors is an integer number (1100050500015).

Almost surely, 22200101000029 is an apocalyptic number.

It is an amenable number.

2200101000029 is a deficient number, since it is larger than the sum of its proper divisors (1).

2200101000029 is an equidigital number, since it uses as much as digits as its factorization.

2200101000029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 17.

The spelling of 2200101000029 in words is "two trillion, two hundred billion, one hundred one million, twenty-nine", and thus it is an aban number.