Search a number
-
+
2010022129 is a prime number
BaseRepresentation
bin111011111001110…
…1000000011110001
312012002012201000001
41313303220003301
513104031202004
6531241430001
7100544622553
oct16763500361
95162181001
102010022129
11941672415
1248119b301
1326057600b
14150d474d3
15bb6e21a4
hex77ce80f1

2010022129 has 2 divisors, whose sum is σ = 2010022130. Its totient is φ = 2010022128.

The previous prime is 2010022127. The next prime is 2010022247. The reversal of 2010022129 is 9212200102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1620867600 + 389154529 = 40260^2 + 19727^2 .

It is a cyclic number.

It is not a de Polignac number, because 2010022129 - 21 = 2010022127 is a prime.

Together with 2010022127, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2010022123) 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, 1005011064 + 1005011065.

It is an arithmetic number, because the mean of its divisors is an integer number (1005011065).

Almost surely, 22010022129 is an apocalyptic number.

It is an amenable number.

2010022129 is a deficient number, since it is larger than the sum of its proper divisors (1).

2010022129 is an equidigital number, since it uses as much as digits as its factorization.

2010022129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 2010022129 is about 44833.2703357674. The cubic root of 2010022129 is about 1262.0220595767.

The spelling of 2010022129 in words is "two billion, ten million, twenty-two thousand, one hundred twenty-nine".