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123202114241 is a prime number
BaseRepresentation
bin111001010111101101…
…0110001001011000001
3102210000011111212110012
41302233122301023001
54004304220123431
6132333120514305
711621030456303
oct1625732611301
9383004455405
10123202114241
1148282421a28
121ba6417b995
13b80571631b
145d6a721973
15331117022b
hex1caf6b12c1

123202114241 has 2 divisors, whose sum is σ = 123202114242. Its totient is φ = 123202114240.

The previous prime is 123202114199. The next prime is 123202114253. The reversal of 123202114241 is 142411202321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 116141913616 + 7060200625 = 340796^2 + 84025^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-123202114241 is a prime.

It is not a weakly prime, because it can be changed into another prime (123202113241) 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, 61601057120 + 61601057121.

It is an arithmetic number, because the mean of its divisors is an integer number (61601057121).

Almost surely, 2123202114241 is an apocalyptic number.

It is an amenable number.

123202114241 is a deficient number, since it is larger than the sum of its proper divisors (1).

123202114241 is an equidigital number, since it uses as much as digits as its factorization.

123202114241 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 123202114241 its reverse (142411202321), we get a palindrome (265613316562).

The spelling of 123202114241 in words is "one hundred twenty-three billion, two hundred two million, one hundred fourteen thousand, two hundred forty-one".