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2144100256229 is a prime number
BaseRepresentation
bin11111001100110110010…
…101011000100111100101
321120222022000220022212002
4133030312111120213211
5240112104131144404
64320552553335045
7310622542321121
oct37146625304745
97528260808762
102144100256229
11757342775138
122a765aa07485
1312725974b089
1475abc88c581
153ab8db79c1e
hex1f3365589e5

2144100256229 has 2 divisors, whose sum is σ = 2144100256230. Its totient is φ = 2144100256228.

The previous prime is 2144100256217. The next prime is 2144100256343. The reversal of 2144100256229 is 9226520014412.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2131862808100 + 12237448129 = 1460090^2 + 110623^2 .

It is a cyclic number.

It is not a de Polignac number, because 2144100256229 - 24 = 2144100256213 is a prime.

It is a super-2 number, since 2×21441002562292 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2144100256192 and 2144100256201.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2144100256729) 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, 1072050128114 + 1072050128115.

It is an arithmetic number, because the mean of its divisors is an integer number (1072050128115).

Almost surely, 22144100256229 is an apocalyptic number.

It is an amenable number.

2144100256229 is a deficient number, since it is larger than the sum of its proper divisors (1).

2144100256229 is an equidigital number, since it uses as much as digits as its factorization.

2144100256229 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 69120, while the sum is 38.

The spelling of 2144100256229 in words is "two trillion, one hundred forty-four billion, one hundred million, two hundred fifty-six thousand, two hundred twenty-nine".