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114130513001 is a prime number
BaseRepresentation
bin110101001001010110…
…1010110110001101001
3101220120221200210000002
41222102231112301221
53332214402404001
6124233020552345
711150155232261
oct1522255266151
9356527623002
10114130513001
114444777671a
121a1520b26b5
13a9bb18673b
1457499cc7a1
152e7ea4d46b
hex1a92b56c69

114130513001 has 2 divisors, whose sum is σ = 114130513002. Its totient is φ = 114130513000.

The previous prime is 114130512961. The next prime is 114130513067. The reversal of 114130513001 is 100315031411.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 113676865600 + 453647401 = 337160^2 + 21299^2 .

It is a cyclic number.

It is not a de Polignac number, because 114130513001 - 234 = 96950643817 is a prime.

It is not a weakly prime, because it can be changed into another prime (114130513901) 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, 57065256500 + 57065256501.

It is an arithmetic number, because the mean of its divisors is an integer number (57065256501).

Almost surely, 2114130513001 is an apocalyptic number.

It is an amenable number.

114130513001 is a deficient number, since it is larger than the sum of its proper divisors (1).

114130513001 is an equidigital number, since it uses as much as digits as its factorization.

114130513001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 180, while the sum is 20.

Adding to 114130513001 its reverse (100315031411), we get a palindrome (214445544412).

The spelling of 114130513001 in words is "one hundred fourteen billion, one hundred thirty million, five hundred thirteen thousand, one".