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122033020033 is a prime number
BaseRepresentation
bin111000110100110111…
…1000001110010000001
3102122222200122201200201
41301221233001302001
53444410423120113
6132021115045201
711550043361341
oct1615157016201
9378880581621
10122033020033
1147832505171
121b798740801
13b67a4531c2
145c99358d21
1532936dbcdd
hex1c69bc1c81

122033020033 has 2 divisors, whose sum is σ = 122033020034. Its totient is φ = 122033020032.

The previous prime is 122033020009. The next prime is 122033020069. The reversal of 122033020033 is 330020330221.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 96244514289 + 25788505744 = 310233^2 + 160588^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122033020033 is a prime.

It is not a weakly prime, because it can be changed into another prime (122033020433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61016510016 + 61016510017.

It is an arithmetic number, because the mean of its divisors is an integer number (61016510017).

Almost surely, 2122033020033 is an apocalyptic number.

It is an amenable number.

122033020033 is a deficient number, since it is larger than the sum of its proper divisors (1).

122033020033 is an equidigital number, since it uses as much as digits as its factorization.

122033020033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 19.

Adding to 122033020033 its reverse (330020330221), we get a palindrome (452053350254).

The spelling of 122033020033 in words is "one hundred twenty-two billion, thirty-three million, twenty thousand, thirty-three".