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2010222011029 is a prime number
BaseRepresentation
bin11101010000001010100…
…100011010001010010101
321010011201211100210222011
4131100022210122022111
5230413413313323104
64135252214104221
7265143114110341
oct35201244321225
97104654323864
102010222011029
11705591a11a91
1228571734b071
131177422446cb
146d41c2c4621
15374555e1904
hex1d40a91a295

2010222011029 has 2 divisors, whose sum is σ = 2010222011030. Its totient is φ = 2010222011028.

The previous prime is 2010222011009. The next prime is 2010222011113. The reversal of 2010222011029 is 9201102220102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1815742775025 + 194479236004 = 1347495^2 + 440998^2 .

It is a cyclic number.

It is not a de Polignac number, because 2010222011029 - 25 = 2010222010997 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2010222011009) 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, 1005111005514 + 1005111005515.

It is an arithmetic number, because the mean of its divisors is an integer number (1005111005515).

Almost surely, 22010222011029 is an apocalyptic number.

It is an amenable number.

2010222011029 is a deficient number, since it is larger than the sum of its proper divisors (1).

2010222011029 is an equidigital number, since it uses as much as digits as its factorization.

2010222011029 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 22.

The spelling of 2010222011029 in words is "two trillion, ten billion, two hundred twenty-two million, eleven thousand, twenty-nine".