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202012210217 is a prime number
BaseRepresentation
bin1011110000100011011…
…1011011010000101001
3201022102120121112222202
42330020313123100221
511302210111211332
6232445250425545
720411023312046
oct2741067332051
9638376545882
10202012210217
1178744698554
12331995922b5
13160851800cc
149ac54381cd
1553c4e49a62
hex2f08ddb429

202012210217 has 2 divisors, whose sum is σ = 202012210218. Its totient is φ = 202012210216.

The previous prime is 202012210177. The next prime is 202012210243. The reversal of 202012210217 is 712012210202.

202012210217 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 153849079696 + 48163130521 = 392236^2 + 219461^2 .

It is a cyclic number.

It is not a de Polignac number, because 202012210217 - 216 = 202012144681 is a prime.

It is not a weakly prime, because it can be changed into another prime (202012210277) 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, 101006105108 + 101006105109.

It is an arithmetic number, because the mean of its divisors is an integer number (101006105109).

Almost surely, 2202012210217 is an apocalyptic number.

It is an amenable number.

202012210217 is a deficient number, since it is larger than the sum of its proper divisors (1).

202012210217 is an equidigital number, since it uses as much as digits as its factorization.

202012210217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 224, while the sum is 20.

Adding to 202012210217 its reverse (712012210202), we get a palindrome (914024420419).

The spelling of 202012210217 in words is "two hundred two billion, twelve million, two hundred ten thousand, two hundred seventeen".