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2010222102181 is a prime number
BaseRepresentation
bin11101010000001010100…
…100110000011010100101
321010011201211112110000011
4131100022210300122211
5230413413324232211
64135252220050221
7265143114640156
oct35201244603245
97104654473004
102010222102181
11705591a74517
12285717393971
13117742277047
146d41c30992d
153745560d921
hex1d40a9306a5

2010222102181 has 2 divisors, whose sum is σ = 2010222102182. Its totient is φ = 2010222102180.

The previous prime is 2010222102173. The next prime is 2010222102209. The reversal of 2010222102181 is 1812012220102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1930057240225 + 80164861956 = 1389265^2 + 283134^2 .

It is a cyclic number.

It is not a de Polignac number, because 2010222102181 - 23 = 2010222102173 is a prime.

It is a super-4 number, since 4×20102221021814 (a number of 50 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2010222102281) 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, 1005111051090 + 1005111051091.

It is an arithmetic number, because the mean of its divisors is an integer number (1005111051091).

Almost surely, 22010222102181 is an apocalyptic number.

It is an amenable number.

2010222102181 is a deficient number, since it is larger than the sum of its proper divisors (1).

2010222102181 is an equidigital number, since it uses as much as digits as its factorization.

2010222102181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 256, while the sum is 22.

Adding to 2010222102181 its reverse (1812012220102), we get a palindrome (3822234322283).

The spelling of 2010222102181 in words is "two trillion, ten billion, two hundred twenty-two million, one hundred two thousand, one hundred eighty-one".