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2214402106561 is a prime number
BaseRepresentation
bin100000001110010100101…
…001101010010011000001
321211200202111020100112121
4200032110221222103001
5242240043414402221
64413140550124241
7315661643224651
oct40162451522301
97750674210477
102214402106561
11784139294897
122b91ba950681
13130a81590798
147926b5da361
153c905a12a41
hex20394a6a4c1

2214402106561 has 2 divisors, whose sum is σ = 2214402106562. Its totient is φ = 2214402106560.

The previous prime is 2214402106559. The next prime is 2214402106591. The reversal of 2214402106561 is 1656012044122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2008685432961 + 205716673600 = 1417281^2 + 453560^2 .

It is a cyclic number.

It is not a de Polignac number, because 2214402106561 - 21 = 2214402106559 is a prime.

Together with 2214402106559, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2214402106591) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1107201053280 + 1107201053281.

It is an arithmetic number, because the mean of its divisors is an integer number (1107201053281).

Almost surely, 22214402106561 is an apocalyptic number.

It is an amenable number.

2214402106561 is a deficient number, since it is larger than the sum of its proper divisors (1).

2214402106561 is an equidigital number, since it uses as much as digits as its factorization.

2214402106561 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 23040, while the sum is 34.

The spelling of 2214402106561 in words is "two trillion, two hundred fourteen billion, four hundred two million, one hundred six thousand, five hundred sixty-one".