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122433464441 is a prime number
BaseRepresentation
bin111001000000110011…
…0100110100001111001
3102201000121011102011002
41302001212212201321
54001220431330231
6132124542014345
711563005163631
oct1620146464171
9381017142132
10122433464441
1147a18553a62
121b88a8773b5
13b7123bbb62
145cd65d76c1
1532b893c0cb
hex1c819a6879

122433464441 has 2 divisors, whose sum is σ = 122433464442. Its totient is φ = 122433464440.

The previous prime is 122433464357. The next prime is 122433464443. The reversal of 122433464441 is 144464334221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 63111990841 + 59321473600 = 251221^2 + 243560^2 .

It is a cyclic number.

It is not a de Polignac number, because 122433464441 - 226 = 122366355577 is a prime.

It is a super-2 number, since 2×1224334644412 (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

Together with 122433464443, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 122433464395 and 122433464404.

It is not a weakly prime, because it can be changed into another prime (122433464443) 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, 61216732220 + 61216732221.

It is an arithmetic number, because the mean of its divisors is an integer number (61216732221).

Almost surely, 2122433464441 is an apocalyptic number.

It is an amenable number.

122433464441 is a deficient number, since it is larger than the sum of its proper divisors (1).

122433464441 is an equidigital number, since it uses as much as digits as its factorization.

122433464441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 221184, while the sum is 38.

Adding to 122433464441 its reverse (144464334221), we get a palindrome (266897798662).

The spelling of 122433464441 in words is "one hundred twenty-two billion, four hundred thirty-three million, four hundred sixty-four thousand, four hundred forty-one".