Search a number
-
+
2214403314121 is a prime number
BaseRepresentation
bin100000001110010100101…
…110010001000111001001
321211200202120111201000001
4200032110232101013021
5242240044222022441
64413141032043001
7315661656414355
oct40162456210711
97750676451001
102214403314121
11784139a3a079
122b91bb233461
13130a818c430b
147926b832465
153c905ba0731
hex20394b911c9

2214403314121 has 2 divisors, whose sum is σ = 2214403314122. Its totient is φ = 2214403314120.

The previous prime is 2214403314091. The next prime is 2214403314127. The reversal of 2214403314121 is 1214133044122.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1864483742521 + 349919571600 = 1365461^2 + 591540^2 .

It is a cyclic number.

It is not a de Polignac number, because 2214403314121 - 215 = 2214403281353 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2214403314121.

It is not a weakly prime, because it can be changed into another prime (2214403314127) 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, 1107201657060 + 1107201657061.

It is an arithmetic number, because the mean of its divisors is an integer number (1107201657061).

Almost surely, 22214403314121 is an apocalyptic number.

It is an amenable number.

2214403314121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2214403314121 is an equidigital number, since it uses as much as digits as its factorization.

2214403314121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 2214403314121 its reverse (1214133044122), we get a palindrome (3428536358243).

The spelling of 2214403314121 in words is "two trillion, two hundred fourteen billion, four hundred three million, three hundred fourteen thousand, one hundred twenty-one".