Search a number
-
+
123114200201 is a prime number
BaseRepresentation
bin111001010101000101…
…1011001110010001001
3102202210001002101001122
41302222023121302021
54004114213401301
6132320300325025
711615612302166
oct1625213316211
9382701071048
10123114200201
11482378358a3
121ba3a843775
13b7c0444995
145d5cb9906d
1533085a681b
hex1caa2d9c89

123114200201 has 2 divisors, whose sum is σ = 123114200202. Its totient is φ = 123114200200.

The previous prime is 123114200173. The next prime is 123114200219. The reversal of 123114200201 is 102002411321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97984024576 + 25130175625 = 313024^2 + 158525^2 .

It is an emirp because it is prime and its reverse (102002411321) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 123114200201 - 214 = 123114183817 is a prime.

It is a super-2 number, since 2×1231142002012 (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 123114200201.

It is not a weakly prime, because it can be changed into another prime (123114200281) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61557100100 + 61557100101.

It is an arithmetic number, because the mean of its divisors is an integer number (61557100101).

Almost surely, 2123114200201 is an apocalyptic number.

It is an amenable number.

123114200201 is a deficient number, since it is larger than the sum of its proper divisors (1).

123114200201 is an equidigital number, since it uses as much as digits as its factorization.

123114200201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 123114200201 its reverse (102002411321), we get a palindrome (225116611522).

The spelling of 123114200201 in words is "one hundred twenty-three billion, one hundred fourteen million, two hundred thousand, two hundred one".