Search a number
-
+
212032010209 is a prime number
BaseRepresentation
bin1100010101111000010…
…1111011011111100001
3202021021212122010121011
43011132011323133201
511433220143311314
6241223421500521
721214231230655
oct3053605733741
9667255563534
10212032010209
1181a165a6598
1235115111741
1316cc0cb0946
14a396072a65
1557ae9194c4
hex315e17b7e1

212032010209 has 2 divisors, whose sum is σ = 212032010210. Its totient is φ = 212032010208.

The previous prime is 212032010191. The next prime is 212032010221. The reversal of 212032010209 is 902010230212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 211158630400 + 873379809 = 459520^2 + 29553^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-212032010209 is a prime.

It is a super-3 number, since 3×2120320102093 (a number of 35 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 212032010209.

It is not a weakly prime, because it can be changed into another prime (212032010279) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106016005104 + 106016005105.

It is an arithmetic number, because the mean of its divisors is an integer number (106016005105).

Almost surely, 2212032010209 is an apocalyptic number.

It is an amenable number.

212032010209 is a deficient number, since it is larger than the sum of its proper divisors (1).

212032010209 is an equidigital number, since it uses as much as digits as its factorization.

212032010209 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 22.

The spelling of 212032010209 in words is "two hundred twelve billion, thirty-two million, ten thousand, two hundred nine".