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14135167001 is a prime number
BaseRepresentation
bin11010010101000010…
…11000100000011001
31100111002210212211202
431022201120200121
5212422100321001
610254341403545
71010165636264
oct151241304031
940432725752
1014135167001
115aa3a2a1aa
1228a5a095b5
131443616457
1498141dcdb
1557ae3296b
hex34a858819

14135167001 has 2 divisors, whose sum is σ = 14135167002. Its totient is φ = 14135167000.

The previous prime is 14135166973. The next prime is 14135167003. The reversal of 14135167001 is 10076153141.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9051619600 + 5083547401 = 95140^2 + 71299^2 .

It is a cyclic number.

It is not a de Polignac number, because 14135167001 - 210 = 14135165977 is a prime.

It is a super-2 number, since 2×141351670012 (a number of 21 digits) contains 22 as substring.

Together with 14135167003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (14135167003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7067583500 + 7067583501.

It is an arithmetic number, because the mean of its divisors is an integer number (7067583501).

Almost surely, 214135167001 is an apocalyptic number.

It is an amenable number.

14135167001 is a deficient number, since it is larger than the sum of its proper divisors (1).

14135167001 is an equidigital number, since it uses as much as digits as its factorization.

14135167001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2520, while the sum is 29.

The spelling of 14135167001 in words is "fourteen billion, one hundred thirty-five million, one hundred sixty-seven thousand, one".