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122312332033 is a prime number
BaseRepresentation
bin111000111101001100…
…0100001001100000001
3102200201011020020201121
41301322120201030001
54000443424111113
6132104533432241
711560004445133
oct1617230411401
9380634206647
10122312332033
1147966139431
121b85619b681
13b6c3289688
145cc44a5053
1532aceb0e8d
hex1c7a621301

122312332033 has 2 divisors, whose sum is σ = 122312332034. Its totient is φ = 122312332032.

The previous prime is 122312332031. The next prime is 122312332057. The reversal of 122312332033 is 330233213221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 68584800769 + 53727531264 = 261887^2 + 231792^2 .

It is a cyclic number.

It is not a de Polignac number, because 122312332033 - 21 = 122312332031 is a prime.

Together with 122312332031, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 122312331989 and 122312332007.

It is not a weakly prime, because it can be changed into another prime (122312332031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61156166016 + 61156166017.

It is an arithmetic number, because the mean of its divisors is an integer number (61156166017).

Almost surely, 2122312332033 is an apocalyptic number.

It is an amenable number.

122312332033 is a deficient number, since it is larger than the sum of its proper divisors (1).

122312332033 is an equidigital number, since it uses as much as digits as its factorization.

122312332033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 122312332033 its reverse (330233213221), we get a palindrome (452545545254).

The spelling of 122312332033 in words is "one hundred twenty-two billion, three hundred twelve million, three hundred thirty-two thousand, thirty-three".