Search a number
-
+
122022110219 is a prime number
BaseRepresentation
bin111000110100100010…
…1011010010000001011
3102122221221010110020112
41301221011122100023
53444400130011334
6132020045144535
711546551552322
oct1615105322013
9378857113215
10122022110219
1147827333499
121b794b5b14b
13b6781034a9
145c97b190b9
1532927844ce
hex1c6915a40b

122022110219 has 2 divisors, whose sum is σ = 122022110220. Its totient is φ = 122022110218.

The previous prime is 122022110207. The next prime is 122022110233. The reversal of 122022110219 is 912011220221.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122022110219 is a prime.

It is a super-3 number, since 3×1220221102193 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

It is a junction number, because it is equal to n+sod(n) for n = 122022110194 and 122022110203.

It is not a weakly prime, because it can be changed into another prime (122022110239) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61011055109 + 61011055110.

It is an arithmetic number, because the mean of its divisors is an integer number (61011055110).

Almost surely, 2122022110219 is an apocalyptic number.

122022110219 is a deficient number, since it is larger than the sum of its proper divisors (1).

122022110219 is an equidigital number, since it uses as much as digits as its factorization.

122022110219 is an evil number, because the sum of its binary digits is even.

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

The spelling of 122022110219 in words is "one hundred twenty-two billion, twenty-two million, one hundred ten thousand, two hundred nineteen".