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2210211120181 is a prime number
BaseRepresentation
bin100000001010011010110…
…110010100010000110101
321211021221102011012000211
4200022122312110100311
5242203003021321211
64411205034505421
7315453043354531
oct40123266242065
97737842135024
102210211120181
11782388614789
122b842b295271
1313056421c69c
1478d90b6cbc1
153c75cb13e21
hex2029ad94435

2210211120181 has 2 divisors, whose sum is σ = 2210211120182. Its totient is φ = 2210211120180.

The previous prime is 2210211120149. The next prime is 2210211120223. The reversal of 2210211120181 is 1810211120122.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1294113283281 + 916097836900 = 1137591^2 + 957130^2 .

It is a cyclic number.

It is not a de Polignac number, because 2210211120181 - 25 = 2210211120149 is a prime.

It is a super-2 number, since 2×22102111201812 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2210211124181) 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, 1105105560090 + 1105105560091.

It is an arithmetic number, because the mean of its divisors is an integer number (1105105560091).

Almost surely, 22210211120181 is an apocalyptic number.

It is an amenable number.

2210211120181 is a deficient number, since it is larger than the sum of its proper divisors (1).

2210211120181 is an equidigital number, since it uses as much as digits as its factorization.

2210211120181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 22.

The spelling of 2210211120181 in words is "two trillion, two hundred ten billion, two hundred eleven million, one hundred twenty thousand, one hundred eighty-one".