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2144413121 is a prime number
BaseRepresentation
bin111111111010001…
…0010010111000001
312112110002110210012
41333310102113001
513342432204441
6552442114305
7104066132204
oct17764222701
95473073705
102144413121
11a00513354
124ba1ab995
1328236b306
14164b2b93b
15c83db9eb
hex7fd125c1

2144413121 has 2 divisors, whose sum is σ = 2144413122. Its totient is φ = 2144413120.

The previous prime is 2144413087. The next prime is 2144413129. The reversal of 2144413121 is 1213144412.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1790220721 + 354192400 = 42311^2 + 18820^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2144413121 is a prime.

It is not a weakly prime, because it can be changed into another prime (2144413129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1072206560 + 1072206561.

It is an arithmetic number, because the mean of its divisors is an integer number (1072206561).

Almost surely, 22144413121 is an apocalyptic number.

It is an amenable number.

2144413121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2144413121 is an equidigital number, since it uses as much as digits as its factorization.

2144413121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 768, while the sum is 23.

The square root of 2144413121 is about 46307.8084236341. The cubic root of 2144413121 is about 1289.5439609488.

Adding to 2144413121 its reverse (1213144412), we get a palindrome (3357557533).

The spelling of 2144413121 in words is "two billion, one hundred forty-four million, four hundred thirteen thousand, one hundred twenty-one".