Search a number
-
+
211223109997 is a prime number
BaseRepresentation
bin1100010010110111100…
…0001110000101101101
3202012012111112202010001
43010231320032011231
511430041104004442
6241011244144301
721155206545214
oct3045570160555
9665174482101
10211223109997
1181640a36919
1234b2a238091
1316bc2532973
14a31a86c07b
1557638d52b7
hex312de0e16d

211223109997 has 2 divisors, whose sum is σ = 211223109998. Its totient is φ = 211223109996.

The previous prime is 211223109989. The next prime is 211223110013. The reversal of 211223109997 is 799901322112.

211223109997 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 202517100361 + 8706009636 = 450019^2 + 93306^2 .

It is a cyclic number.

It is not a de Polignac number, because 211223109997 - 23 = 211223109989 is a prime.

It is a super-2 number, since 2×2112231099972 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211223100997) 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, 105611554998 + 105611554999.

It is an arithmetic number, because the mean of its divisors is an integer number (105611554999).

Almost surely, 2211223109997 is an apocalyptic number.

It is an amenable number.

211223109997 is a deficient number, since it is larger than the sum of its proper divisors (1).

211223109997 is an equidigital number, since it uses as much as digits as its factorization.

211223109997 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 122472, while the sum is 46.

The spelling of 211223109997 in words is "two hundred eleven billion, two hundred twenty-three million, one hundred nine thousand, nine hundred ninety-seven".