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114324204101 is a prime number
BaseRepresentation
bin110101001111001000…
…0001110101001000101
3101221002110011022020112
41222132100032221011
53333113444012401
6124304140242405
711155026462332
oct1523620165105
9357073138215
10114324204101
114453703a708
121a1a6b40405
13aa1c342263
14576760b989
152e91a5d3bb
hex1a9e40ea45

114324204101 has 2 divisors, whose sum is σ = 114324204102. Its totient is φ = 114324204100.

The previous prime is 114324203993. The next prime is 114324204139. The reversal of 114324204101 is 101402423411.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65979628225 + 48344575876 = 256865^2 + 219874^2 .

It is an emirp because it is prime and its reverse (101402423411) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-114324204101 is a prime.

It is a super-3 number, since 3×1143242041013 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (114324200101) 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, 57162102050 + 57162102051.

It is an arithmetic number, because the mean of its divisors is an integer number (57162102051).

Almost surely, 2114324204101 is an apocalyptic number.

It is an amenable number.

114324204101 is a deficient number, since it is larger than the sum of its proper divisors (1).

114324204101 is an equidigital number, since it uses as much as digits as its factorization.

114324204101 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 114324204101 its reverse (101402423411), we get a palindrome (215726627512).

The spelling of 114324204101 in words is "one hundred fourteen billion, three hundred twenty-four million, two hundred four thousand, one hundred one".