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2144132513 is a prime number
BaseRepresentation
bin111111111001100…
…1101110110100001
312112102120012212022
41333303031312201
513342344220023
6552432111225
7104063553125
oct17763156641
95472505768
102144132513
11a00341546
124ba095515
132822a0683
14164a97585
15c83837c8
hex7fccdda1

2144132513 has 2 divisors, whose sum is σ = 2144132514. Its totient is φ = 2144132512.

The previous prime is 2144132489. The next prime is 2144132533. The reversal of 2144132513 is 3152314412.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1163628544 + 980503969 = 34112^2 + 31313^2 .

It is a cyclic number.

It is not a de Polignac number, because 2144132513 - 26 = 2144132449 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (2144132533) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1072066256 + 1072066257.

It is an arithmetic number, because the mean of its divisors is an integer number (1072066257).

Almost surely, 22144132513 is an apocalyptic number.

It is an amenable number.

2144132513 is a deficient number, since it is larger than the sum of its proper divisors (1).

2144132513 is an equidigital number, since it uses as much as digits as its factorization.

2144132513 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2880, while the sum is 26.

The square root of 2144132513 is about 46304.7785115100. The cubic root of 2144132513 is about 1289.4877105723.

Adding to 2144132513 its reverse (3152314412), we get a palindrome (5296446925).

The spelling of 2144132513 in words is "two billion, one hundred forty-four million, one hundred thirty-two thousand, five hundred thirteen".