Search a number
-
+
122143313 is a prime number
BaseRepresentation
bin1110100011111…
…00001001010001
322111211112010102
413101330021101
5222232041223
620041542145
73012125645
oct721741121
9274745112
10122143313
1162a46096
1234aa4955
131c3c7666
1412316c25
15aaca928
hex747c251

122143313 has 2 divisors, whose sum is σ = 122143314. Its totient is φ = 122143312.

The previous prime is 122143279. The next prime is 122143339. The reversal of 122143313 is 313341221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 109977169 + 12166144 = 10487^2 + 3488^2 .

It is a cyclic number.

It is not a de Polignac number, because 122143313 - 28 = 122143057 is a prime.

It is not a weakly prime, because it can be changed into another prime (122143213) 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, 61071656 + 61071657.

It is an arithmetic number, because the mean of its divisors is an integer number (61071657).

Almost surely, 2122143313 is an apocalyptic number.

It is an amenable number.

122143313 is a deficient number, since it is larger than the sum of its proper divisors (1).

122143313 is an equidigital number, since it uses as much as digits as its factorization.

122143313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 432, while the sum is 20.

The square root of 122143313 is about 11051.8465877879. The cubic root of 122143313 is about 496.1616942150.

Adding to 122143313 its reverse (313341221), we get a palindrome (435484534).

The spelling of 122143313 in words is "one hundred twenty-two million, one hundred forty-three thousand, three hundred thirteen".