Search a number
-
+
122022101010209 is a prime number
BaseRepresentation
bin11011101111101001111011…
…111111000100011100100001
3121000001012101000120112100012
4123233221323333010130201
5111443202230324311314
61111304102423134305
734462543262161301
oct3357517377043441
9530035330515305
10122022101010209
1135975311a02094
121182884a8a4395
13531183371b57a
14221bc88c75601
15e1911ca6593e
hex6efa7bfc4721

122022101010209 has 2 divisors, whose sum is σ = 122022101010210. Its totient is φ = 122022101010208.

The previous prime is 122022101010181. The next prime is 122022101010233. The reversal of 122022101010209 is 902010101220221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 114539824619584 + 7482276390625 = 10702328^2 + 2735375^2 .

It is a cyclic number.

It is not a de Polignac number, because 122022101010209 - 228 = 122021832574753 is a prime.

It is not a weakly prime, because it can be changed into another prime (122022101010269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61011050505104 + 61011050505105.

It is an arithmetic number, because the mean of its divisors is an integer number (61011050505105).

Almost surely, 2122022101010209 is an apocalyptic number.

It is an amenable number.

122022101010209 is a deficient number, since it is larger than the sum of its proper divisors (1).

122022101010209 is an equidigital number, since it uses as much as digits as its factorization.

122022101010209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 23.

The spelling of 122022101010209 in words is "one hundred twenty-two trillion, twenty-two billion, one hundred one million, ten thousand, two hundred nine".