Search a number
-
+
122233121327 is a prime number
BaseRepresentation
bin111000111010110101…
…0010110101000101111
3102200111122011221001202
41301311222112220233
54000313134340302
6132053024000115
711555023250132
oct1616552265057
9380448157052
10122233121327
1147925457239
121b83376003b
13b6aca44635
145cb7b66219
1532a6066202
hex1c75a96a2f

122233121327 has 2 divisors, whose sum is σ = 122233121328. Its totient is φ = 122233121326.

The previous prime is 122233121267. The next prime is 122233121359. The reversal of 122233121327 is 723121332221.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 122233121327 - 28 = 122233121071 is a prime.

It is a super-2 number, since 2×1222331213272 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 122233121327.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122233120327) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61116560663 + 61116560664.

It is an arithmetic number, because the mean of its divisors is an integer number (61116560664).

Almost surely, 2122233121327 is an apocalyptic number.

122233121327 is a deficient number, since it is larger than the sum of its proper divisors (1).

122233121327 is an equidigital number, since it uses as much as digits as its factorization.

122233121327 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6048, while the sum is 29.

Adding to 122233121327 its reverse (723121332221), we get a palindrome (845354453548).

The spelling of 122233121327 in words is "one hundred twenty-two billion, two hundred thirty-three million, one hundred twenty-one thousand, three hundred twenty-seven".