Search a number
-
+
2210211022211 is a prime number
BaseRepresentation
bin100000001010011010110…
…101111100010110000011
321211021221101222012122022
4200022122311330112003
5242203003010202321
64411205032432055
7315453042466103
oct40123265742603
97737841865568
102210211022211
11782388558115
122b842b24862b
131305641b6c0a
1478d90b45203
153c75cae4dab
hex2029ad7c583

2210211022211 has 2 divisors, whose sum is σ = 2210211022212. Its totient is φ = 2210211022210.

The previous prime is 2210211022199. The next prime is 2210211022237. The reversal of 2210211022211 is 1122201120122.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2210211022211 is a prime.

It is a super-3 number, since 3×22102110222113 (a number of 38 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2210211022211.

It is not a weakly prime, because it can be changed into another prime (2210211022511) 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, 1105105511105 + 1105105511106.

It is an arithmetic number, because the mean of its divisors is an integer number (1105105511106).

Almost surely, 22210211022211 is an apocalyptic number.

2210211022211 is a deficient number, since it is larger than the sum of its proper divisors (1).

2210211022211 is an equidigital number, since it uses as much as digits as its factorization.

2210211022211 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 2210211022211 its reverse (1122201120122), we get a palindrome (3332412142333).

The spelling of 2210211022211 in words is "two trillion, two hundred ten billion, two hundred eleven million, twenty-two thousand, two hundred eleven".