Search a number
-
+
213222100320209 is a prime number
BaseRepresentation
bin110000011110110010100011…
…100011000011111111010001
31000221221211111210001212021102
4300132302203203003333101
5210421412330140221314
62033252514114434145
762624534262546521
oct6036624343037721
91027854453055242
10213222100320209
1161a36a91a3a992
121bab7a55b92955
1391c89b0b118c6
143a9200cd43681
15199b5e1ee35de
hexc1eca38c3fd1

213222100320209 has 2 divisors, whose sum is σ = 213222100320210. Its totient is φ = 213222100320208.

The previous prime is 213222100320169. The next prime is 213222100320227. The reversal of 213222100320209 is 902023001222312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 212281898590609 + 940201729600 = 14569897^2 + 969640^2 .

It is a cyclic number.

It is not a de Polignac number, because 213222100320209 - 220 = 213222099271633 is a prime.

It is a super-2 number, since 2×2132221003202092 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (213222100320239) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106611050160104 + 106611050160105.

It is an arithmetic number, because the mean of its divisors is an integer number (106611050160105).

Almost surely, 2213222100320209 is an apocalyptic number.

It is an amenable number.

213222100320209 is a deficient number, since it is larger than the sum of its proper divisors (1).

213222100320209 is an equidigital number, since it uses as much as digits as its factorization.

213222100320209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 29.

The spelling of 213222100320209 in words is "two hundred thirteen trillion, two hundred twenty-two billion, one hundred million, three hundred twenty thousand, two hundred nine".