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122221112333233 is a prime number
BaseRepresentation
bin11011110010100011010001…
…111111000001001110110001
3121000202020001110111012222211
4123302203101333001032301
5112004432314224130413
61111535334234332121
734513120046414164
oct3362432177011661
9530666043435884
10122221112333233
1135a41756683681
121185b32b28a041
13532752ac66384
142227767915adb
15e1e3b92e383d
hex6f28d1fc13b1

122221112333233 has 2 divisors, whose sum is σ = 122221112333234. Its totient is φ = 122221112333232.

The previous prime is 122221112333227. The next prime is 122221112333237. The reversal of 122221112333233 is 332333211122221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94213657402384 + 28007454930849 = 9706372^2 + 5292207^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122221112333233 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122221112333195 and 122221112333204.

It is not a weakly prime, because it can be changed into another prime (122221112333237) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61110556166616 + 61110556166617.

It is an arithmetic number, because the mean of its divisors is an integer number (61110556166617).

Almost surely, 2122221112333233 is an apocalyptic number.

It is an amenable number.

122221112333233 is a deficient number, since it is larger than the sum of its proper divisors (1).

122221112333233 is an equidigital number, since it uses as much as digits as its factorization.

122221112333233 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 15552, while the sum is 31.

Adding to 122221112333233 its reverse (332333211122221), we get a palindrome (454554323455454).

The spelling of 122221112333233 in words is "one hundred twenty-two trillion, two hundred twenty-one billion, one hundred twelve million, three hundred thirty-three thousand, two hundred thirty-three".