Search a number
-
+
122000033 is a prime number
BaseRepresentation
bin1110100010110…
…01001010100001
322111120020120202
413101121022201
5222213000113
620034514545
73010661141
oct721311241
9274506522
10122000033
1162958481
1234a35a55
131c37738c
14122ba921
15aa9d258
hex74592a1

122000033 has 2 divisors, whose sum is σ = 122000034. Its totient is φ = 122000032.

The previous prime is 122000029. The next prime is 122000057. The reversal of 122000033 is 330000221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 72114064 + 49885969 = 8492^2 + 7063^2 .

It is a cyclic number.

It is not a de Polignac number, because 122000033 - 22 = 122000029 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 121999978 and 122000023.

It is not a weakly prime, because it can be changed into another prime (122000003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61000016 + 61000017.

It is an arithmetic number, because the mean of its divisors is an integer number (61000017).

Almost surely, 2122000033 is an apocalyptic number.

It is an amenable number.

122000033 is a deficient number, since it is larger than the sum of its proper divisors (1).

122000033 is an equidigital number, since it uses as much as digits as its factorization.

122000033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 122000033 is about 11045.3625110270. The cubic root of 122000033 is about 495.9676111026.

Adding to 122000033 its reverse (330000221), we get a palindrome (452000254).

The spelling of 122000033 in words is "one hundred twenty-two million, thirty-three", and thus it is an aban number.