Search a number
-
+
212245129 is a prime number
BaseRepresentation
bin11001010011010…
…01101010001001
3112210101011120201
430221221222021
5413313321004
633021052201
75155024315
oct1451515211
9483334521
10212245129
11a98969a8
125b0b7061
1334c83a45
142028cb45
15139776a4
hexca69a89

212245129 has 2 divisors, whose sum is σ = 212245130. Its totient is φ = 212245128.

The previous prime is 212245123. The next prime is 212245157. The reversal of 212245129 is 921542212.

It is an a-pointer prime, because the next prime (212245157) can be obtained adding 212245129 to its sum of digits (28).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 112784400 + 99460729 = 10620^2 + 9973^2 .

It is a cyclic number.

It is not a de Polignac number, because 212245129 - 27 = 212245001 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212245097 and 212245106.

It is not a weakly prime, because it can be changed into another prime (212245123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106122564 + 106122565.

It is an arithmetic number, because the mean of its divisors is an integer number (106122565).

Almost surely, 2212245129 is an apocalyptic number.

It is an amenable number.

212245129 is a deficient number, since it is larger than the sum of its proper divisors (1).

212245129 is an equidigital number, since it uses as much as digits as its factorization.

212245129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2880, while the sum is 28.

The square root of 212245129 is about 14568.6351110871. The cubic root of 212245129 is about 596.5029246320.

The spelling of 212245129 in words is "two hundred twelve million, two hundred forty-five thousand, one hundred twenty-nine".