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2214213412001 is a prime number
BaseRepresentation
bin100000001110001001011…
…001110110010010100001
321211200021100011200021012
4200032021121312102201
5242234202113141001
64413110125510305
7315654162315023
oct40161131662241
97750240150235
102214213412001
11784051823878
122b9167712395
13130a514642b6
147925051c013
153c8e418d2bb
hex203896764a1

2214213412001 has 2 divisors, whose sum is σ = 2214213412002. Its totient is φ = 2214213412000.

The previous prime is 2214213411997. The next prime is 2214213412003. The reversal of 2214213412001 is 1002143124122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1111295472400 + 1102917939601 = 1054180^2 + 1050199^2 .

It is a cyclic number.

It is not a de Polignac number, because 2214213412001 - 22 = 2214213411997 is a prime.

It is a super-2 number, since 2×22142134120012 (a number of 25 digits) contains 22 as substring.

Together with 2214213412003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2214213412003) 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, 1107106706000 + 1107106706001.

It is an arithmetic number, because the mean of its divisors is an integer number (1107106706001).

Almost surely, 22214213412001 is an apocalyptic number.

It is an amenable number.

2214213412001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2214213412001 is an equidigital number, since it uses as much as digits as its factorization.

2214213412001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 2214213412001 its reverse (1002143124122), we get a palindrome (3216356536123).

The spelling of 2214213412001 in words is "two trillion, two hundred fourteen billion, two hundred thirteen million, four hundred twelve thousand, one".