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101444014013 is a prime number
BaseRepresentation
bin101111001111010001…
…0001100111110111101
3100200211210210212002012
41132132202030332331
53130224131422023
6114334105141005
710220606614616
oct1363642147675
9320753725065
10101444014013
113a027557211
12177b148a765
139748a2bac4
144ca4b4cc0d
15298adc5978
hex179e88cfbd

101444014013 has 2 divisors, whose sum is σ = 101444014014. Its totient is φ = 101444014012.

The previous prime is 101444013973. The next prime is 101444014057. The reversal of 101444014013 is 310410444101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 60298731364 + 41145282649 = 245558^2 + 202843^2 .

It is a cyclic number.

It is not a de Polignac number, because 101444014013 - 222 = 101439819709 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 101444014013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101444014213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50722007006 + 50722007007.

It is an arithmetic number, because the mean of its divisors is an integer number (50722007007).

Almost surely, 2101444014013 is an apocalyptic number.

It is an amenable number.

101444014013 is a deficient number, since it is larger than the sum of its proper divisors (1).

101444014013 is an equidigital number, since it uses as much as digits as its factorization.

101444014013 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 101444014013 its reverse (310410444101), we get a palindrome (411854458114).

The spelling of 101444014013 in words is "one hundred one billion, four hundred forty-four million, fourteen thousand, thirteen".