Search a number
-
+
20121271129 is a prime number
BaseRepresentation
bin10010101111010100…
…100011101101011001
31220221021201110222001
4102233110203231121
5312202021134004
613124340401001
71311423661021
oct225724435531
956837643861
1020121271129
118595a298a3
123a966a6161
131b888582bb
14d8c452a81
157cb7231a4
hex4af523b59

20121271129 has 2 divisors, whose sum is σ = 20121271130. Its totient is φ = 20121271128.

The previous prime is 20121271127. The next prime is 20121271169. The reversal of 20121271129 is 92117212102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20120855104 + 416025 = 141848^2 + 645^2 .

It is a cyclic number.

It is not a de Polignac number, because 20121271129 - 21 = 20121271127 is a prime.

Together with 20121271127, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 20121271097 and 20121271106.

It is not a weakly prime, because it can be changed into another prime (20121271127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10060635564 + 10060635565.

It is an arithmetic number, because the mean of its divisors is an integer number (10060635565).

Almost surely, 220121271129 is an apocalyptic number.

It is an amenable number.

20121271129 is a deficient number, since it is larger than the sum of its proper divisors (1).

20121271129 is an equidigital number, since it uses as much as digits as its factorization.

20121271129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1008, while the sum is 28.

The spelling of 20121271129 in words is "twenty billion, one hundred twenty-one million, two hundred seventy-one thousand, one hundred twenty-nine".