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122334230540033 is a prime number
BaseRepresentation
bin11011110100001100101000…
…010110101110111100000001
3121001011001000212100111221122
4123310030220112232330001
5112013311001004240113
61112103323014202025
734524233163332441
oct3364145026567401
9531131025314848
10122334230540033
1135a857239906a6
121187923a353315
1353350b7494455
14222d018cb2121
15e222da02e408
hex6f43285aef01

122334230540033 has 2 divisors, whose sum is σ = 122334230540034. Its totient is φ = 122334230540032.

The previous prime is 122334230540023. The next prime is 122334230540099. The reversal of 122334230540033 is 330045032433221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 68561165547889 + 53773064992144 = 8280167^2 + 7333012^2 .

It is a cyclic number.

It is not a de Polignac number, because 122334230540033 - 24 = 122334230540017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122334230539975 and 122334230540002.

It is not a weakly prime, because it can be changed into another prime (122334230540003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61167115270016 + 61167115270017.

It is an arithmetic number, because the mean of its divisors is an integer number (61167115270017).

Almost surely, 2122334230540033 is an apocalyptic number.

It is an amenable number.

122334230540033 is a deficient number, since it is larger than the sum of its proper divisors (1).

122334230540033 is an equidigital number, since it uses as much as digits as its factorization.

122334230540033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 155520, while the sum is 35.

Adding to 122334230540033 its reverse (330045032433221), we get a palindrome (452379262973254).

The spelling of 122334230540033 in words is "one hundred twenty-two trillion, three hundred thirty-four billion, two hundred thirty million, five hundred forty thousand, thirty-three".