Search a number
-
+
3001122233 is a prime number
BaseRepresentation
bin1011001011100001…
…0111110110111001
321202011010210202022
42302320113312321
522121241402413
61213444244225
7134241055334
oct26270276671
97664123668
103001122233
11130006760a
126b90a0675
1338a9b8295
1420681961b
15128716608
hexb2e17db9

3001122233 has 2 divisors, whose sum is σ = 3001122234. Its totient is φ = 3001122232.

The previous prime is 3001122211. The next prime is 3001122239. The reversal of 3001122233 is 3322211003.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2995153984 + 5968249 = 54728^2 + 2443^2 .

It is a cyclic number.

It is not a de Polignac number, because 3001122233 - 210 = 3001121209 is a prime.

It is not a weakly prime, because it can be changed into another prime (3001122239) 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, 1500561116 + 1500561117.

It is an arithmetic number, because the mean of its divisors is an integer number (1500561117).

Almost surely, 23001122233 is an apocalyptic number.

It is an amenable number.

3001122233 is a deficient number, since it is larger than the sum of its proper divisors (1).

3001122233 is an equidigital number, since it uses as much as digits as its factorization.

3001122233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 3001122233 is about 54782.4993314471. The cubic root of 3001122233 is about 1442.4293856723.

Adding to 3001122233 its reverse (3322211003), we get a palindrome (6323333236).

The spelling of 3001122233 in words is "three billion, one million, one hundred twenty-two thousand, two hundred thirty-three".