Search a number
-
+
2212402404101 is a prime number
BaseRepresentation
bin100000001100011101011…
…101011001101100000101
321211111121010102221110112
4200030131131121230011
5242222000003412401
64412210313402405
7315561252102431
oct40143535315405
97744533387415
102212402404101
1178330253082a
122b8941109405
131308231bb9a6
147911bbbb9c1
153c83a1ad3bb
hex2031d759b05

2212402404101 has 2 divisors, whose sum is σ = 2212402404102. Its totient is φ = 2212402404100.

The previous prime is 2212402404061. The next prime is 2212402404151. The reversal of 2212402404101 is 1014042042122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1823712501601 + 388689902500 = 1350449^2 + 623450^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2212402404101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2212402404151) 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, 1106201202050 + 1106201202051.

It is an arithmetic number, because the mean of its divisors is an integer number (1106201202051).

Almost surely, 22212402404101 is an apocalyptic number.

It is an amenable number.

2212402404101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2212402404101 is an equidigital number, since it uses as much as digits as its factorization.

2212402404101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1024, while the sum is 23.

Adding to 2212402404101 its reverse (1014042042122), we get a palindrome (3226444446223).

The spelling of 2212402404101 in words is "two trillion, two hundred twelve billion, four hundred two million, four hundred four thousand, one hundred one".