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114120142001 is a prime number
BaseRepresentation
bin110101001001000010…
…1110010110010110001
3101220120020011212122222
41222102011302302301
53332204224021001
6124232010410425
711150001126155
oct1522205626261
9356506155588
10114120142001
1144441932848
121a14a730a15
13a9b8c95058
14574848d065
152e7dba061b
hex1a92172cb1

114120142001 has 2 divisors, whose sum is σ = 114120142002. Its totient is φ = 114120142000.

The previous prime is 114120141991. The next prime is 114120142007. The reversal of 114120142001 is 100241021411.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 113703165601 + 416976400 = 337199^2 + 20420^2 .

It is a cyclic number.

It is not a de Polignac number, because 114120142001 - 234 = 96940272817 is a prime.

It is not a weakly prime, because it can be changed into another prime (114120142007) 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, 57060071000 + 57060071001.

It is an arithmetic number, because the mean of its divisors is an integer number (57060071001).

Almost surely, 2114120142001 is an apocalyptic number.

It is an amenable number.

114120142001 is a deficient number, since it is larger than the sum of its proper divisors (1).

114120142001 is an equidigital number, since it uses as much as digits as its factorization.

114120142001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 114120142001 its reverse (100241021411), we get a palindrome (214361163412).

The spelling of 114120142001 in words is "one hundred fourteen billion, one hundred twenty million, one hundred forty-two thousand, one".