Search a number
-
+
122228021 is a prime number
BaseRepresentation
bin1110100100100…
…00110100110101
322111222211022202
413102100310311
5222242244041
620043434245
73012630626
oct722206465
9274884282
10122228021
1162aa37a3
1234b25985
131c427096
1412339a4d
15aae5a9b
hex7490d35

122228021 has 2 divisors, whose sum is σ = 122228022. Its totient is φ = 122228020.

The previous prime is 122227993. The next prime is 122228023. The reversal of 122228021 is 120822221.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93219025 + 29008996 = 9655^2 + 5386^2 .

It is a cyclic number.

It is not a de Polignac number, because 122228021 - 214 = 122211637 is a prime.

Together with 122228023, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 122227984 and 122228002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122228023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61114010 + 61114011.

It is an arithmetic number, because the mean of its divisors is an integer number (61114011).

Almost surely, 2122228021 is an apocalyptic number.

It is an amenable number.

122228021 is a deficient number, since it is larger than the sum of its proper divisors (1).

122228021 is an equidigital number, since it uses as much as digits as its factorization.

122228021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 122228021 is about 11055.6782243334. The cubic root of 122228021 is about 496.2763659386.

The spelling of 122228021 in words is "one hundred twenty-two million, two hundred twenty-eight thousand, twenty-one".