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214320013014101 is a prime number
BaseRepresentation
bin110000101110110001000100…
…001111100111010001010101
31001002211210102012111111022112
4300232301010033213101111
5211042404341312422401
62035453131010040405
763100052500506521
oct6056610417472125
91032753365444275
10214320013014101
116231a675042a05
12200547a2879105
1392783a1324ab7
143acd203106d81
1519b9e4e5d83bb
hexc2ec443e7455

214320013014101 has 2 divisors, whose sum is σ = 214320013014102. Its totient is φ = 214320013014100.

The previous prime is 214320013014097. The next prime is 214320013014109. The reversal of 214320013014101 is 101410310023412.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 130025102151025 + 84294910863076 = 11402855^2 + 9181226^2 .

It is a cyclic number.

It is not a de Polignac number, because 214320013014101 - 22 = 214320013014097 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (214320013014109) 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, 107160006507050 + 107160006507051.

It is an arithmetic number, because the mean of its divisors is an integer number (107160006507051).

Almost surely, 2214320013014101 is an apocalyptic number.

It is an amenable number.

214320013014101 is a deficient number, since it is larger than the sum of its proper divisors (1).

214320013014101 is an equidigital number, since it uses as much as digits as its factorization.

214320013014101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 214320013014101 its reverse (101410310023412), we get a palindrome (315730323037513).

The spelling of 214320013014101 in words is "two hundred fourteen trillion, three hundred twenty billion, thirteen million, fourteen thousand, one hundred one".