Search a number
-
+
122301222211033 is a prime number
BaseRepresentation
bin11011110011101101111000…
…111001111100110111011001
3121001000212211110100122222221
4123303231320321330313121
5112012240400341223113
61112040223355144041
734521654204221215
oct3363557071746731
9531025743318887
10122301222211033
1135a72725608558
1211872967a45021
135331c56a8ca28
14222b5a70d3945
15e2150726898d
hex6f3b78e7cdd9

122301222211033 has 2 divisors, whose sum is σ = 122301222211034. Its totient is φ = 122301222211032.

The previous prime is 122301222211001. The next prime is 122301222211067. The reversal of 122301222211033 is 330112222103221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 90655286988249 + 31645935222784 = 9521307^2 + 5625472^2 .

It is a cyclic number.

It is not a de Polignac number, because 122301222211033 - 25 = 122301222211001 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122301222210989 and 122301222211007.

It is not a weakly prime, because it can be changed into another prime (122301222211633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61150611105516 + 61150611105517.

It is an arithmetic number, because the mean of its divisors is an integer number (61150611105517).

Almost surely, 2122301222211033 is an apocalyptic number.

It is an amenable number.

122301222211033 is a deficient number, since it is larger than the sum of its proper divisors (1).

122301222211033 is an equidigital number, since it uses as much as digits as its factorization.

122301222211033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 122301222211033 its reverse (330112222103221), we get a palindrome (452413444314254).

The spelling of 122301222211033 in words is "one hundred twenty-two trillion, three hundred one billion, two hundred twenty-two million, two hundred eleven thousand, thirty-three".