Search a number
-
+
122533349 is a prime number
BaseRepresentation
bin1110100110110…
…11010111100101
322112120100011012
413103123113211
5222332031344
620054152005
73015342041
oct723332745
9275510135
10122533349
1163192134
1235052605
131c503053
14123b9021
15ab5629e
hex74db5e5

122533349 has 2 divisors, whose sum is σ = 122533350. Its totient is φ = 122533348.

The previous prime is 122533343. The next prime is 122533361. The reversal of 122533349 is 943335221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 119202724 + 3330625 = 10918^2 + 1825^2 .

It is an emirp because it is prime and its reverse (943335221) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122533349 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122533343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61266674 + 61266675.

It is an arithmetic number, because the mean of its divisors is an integer number (61266675).

Almost surely, 2122533349 is an apocalyptic number.

It is an amenable number.

122533349 is a deficient number, since it is larger than the sum of its proper divisors (1).

122533349 is an equidigital number, since it uses as much as digits as its factorization.

122533349 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 19440, while the sum is 32.

The square root of 122533349 is about 11069.4782623211. The cubic root of 122533349 is about 496.6892583651.

The spelling of 122533349 in words is "one hundred twenty-two million, five hundred thirty-three thousand, three hundred forty-nine".