Search a number
-
+
122464813 is a prime number
BaseRepresentation
bin1110100110010…
…10101000101101
322112102212010211
413103022220231
5222322333223
620052502421
73014635162
oct723125055
9275385124
10122464813
1163145699
123501aa11
131c4aaab3
141239c069
15ab40d0d
hex74caa2d

122464813 has 2 divisors, whose sum is σ = 122464814. Its totient is φ = 122464812.

The previous prime is 122464777. The next prime is 122464829. The reversal of 122464813 is 318464221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87572164 + 34892649 = 9358^2 + 5907^2 .

It is an emirp because it is prime and its reverse (318464221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122464813 - 217 = 122333741 is a prime.

It is a super-3 number, since 3×1224648133 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122464843) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61232406 + 61232407.

It is an arithmetic number, because the mean of its divisors is an integer number (61232407).

Almost surely, 2122464813 is an apocalyptic number.

It is an amenable number.

122464813 is a deficient number, since it is larger than the sum of its proper divisors (1).

122464813 is an equidigital number, since it uses as much as digits as its factorization.

122464813 is an evil number, because the sum of its binary digits is even.

The product of its digits is 9216, while the sum is 31.

The square root of 122464813 is about 11066.3821097954. The cubic root of 122464813 is about 496.5966374747.

The spelling of 122464813 in words is "one hundred twenty-two million, four hundred sixty-four thousand, eight hundred thirteen".