Search a number
-
+
212144331122209 is a prime number
BaseRepresentation
bin110000001111000110110011…
…011111110110011000100001
31000211010210121012011211211201
4300033012303133312120201
5210301233042231402314
62031105432120241201
762453631201534013
oct6017066337663041
91024123535154751
10212144331122209
11616609a6366532
121b962bab310201
13914b180938955
143a55baa13a1b3
15197d563061b74
hexc0f1b37f6621

212144331122209 has 2 divisors, whose sum is σ = 212144331122210. Its totient is φ = 212144331122208.

The previous prime is 212144331122161. The next prime is 212144331122233. The reversal of 212144331122209 is 902221133441212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 185851054598400 + 26293276523809 = 13632720^2 + 5127697^2 .

It is a cyclic number.

It is not a de Polignac number, because 212144331122209 - 227 = 212144196904481 is a prime.

It is not a weakly prime, because it can be changed into another prime (212144331122279) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106072165561104 + 106072165561105.

It is an arithmetic number, because the mean of its divisors is an integer number (106072165561105).

Almost surely, 2212144331122209 is an apocalyptic number.

It is an amenable number.

212144331122209 is a deficient number, since it is larger than the sum of its proper divisors (1).

212144331122209 is an equidigital number, since it uses as much as digits as its factorization.

212144331122209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 41472, while the sum is 37.

The spelling of 212144331122209 in words is "two hundred twelve trillion, one hundred forty-four billion, three hundred thirty-one million, one hundred twenty-two thousand, two hundred nine".