Search a number
-
+
21144130129 is a prime number
BaseRepresentation
bin10011101100010010…
…011101001001010001
32000120120102002201201
4103230102131021101
5321300344131004
613414040031201
71345654066153
oct235422351121
960516362651
1021144130129
118a70345a11
124121162501
131cbc73a005
141048230ad3
1583b41c6a4
hex4ec49d251

21144130129 has 2 divisors, whose sum is σ = 21144130130. Its totient is φ = 21144130128.

The previous prime is 21144130087. The next prime is 21144130141. The reversal of 21144130129 is 92103144112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17441164225 + 3702965904 = 132065^2 + 60852^2 .

It is a cyclic number.

It is not a de Polignac number, because 21144130129 - 227 = 21009912401 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21144130097 and 21144130106.

It is not a weakly prime, because it can be changed into another prime (21144130169) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10572065064 + 10572065065.

It is an arithmetic number, because the mean of its divisors is an integer number (10572065065).

Almost surely, 221144130129 is an apocalyptic number.

It is an amenable number.

21144130129 is a deficient number, since it is larger than the sum of its proper divisors (1).

21144130129 is an equidigital number, since it uses as much as digits as its factorization.

21144130129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1728, while the sum is 28.

The spelling of 21144130129 in words is "twenty-one billion, one hundred forty-four million, one hundred thirty thousand, one hundred twenty-nine".