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2144100256217 is a prime number
BaseRepresentation
bin11111001100110110010…
…101011000100111011001
321120222022000220022211122
4133030312111120213121
5240112104131144332
64320552553335025
7310622542321103
oct37146625304731
97528260808748
102144100256217
11757342775127
122a765aa07475
1312725974b07a
1475abc88c573
153ab8db79c12
hex1f3365589d9

2144100256217 has 2 divisors, whose sum is σ = 2144100256218. Its totient is φ = 2144100256216.

The previous prime is 2144100256213. The next prime is 2144100256229. The reversal of 2144100256217 is 7126520014412.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1952137101721 + 191963154496 = 1397189^2 + 438136^2 .

It is a cyclic number.

It is not a de Polignac number, because 2144100256217 - 22 = 2144100256213 is a prime.

It is not a weakly prime, because it can be changed into another prime (2144100256213) 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, 1072050128108 + 1072050128109.

It is an arithmetic number, because the mean of its divisors is an integer number (1072050128109).

Almost surely, 22144100256217 is an apocalyptic number.

It is an amenable number.

2144100256217 is a deficient number, since it is larger than the sum of its proper divisors (1).

2144100256217 is an equidigital number, since it uses as much as digits as its factorization.

2144100256217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 26880, while the sum is 35.

The spelling of 2144100256217 in words is "two trillion, one hundred forty-four billion, one hundred million, two hundred fifty-six thousand, two hundred seventeen".