Search a number
122331301321 is a prime number
BaseRepresentation
bin111000111101110000…
…0111000010111001001
3102200202110220222200211
41301323200320113021
54001013303120241
6132110452201121
711560324622155
oct1617340702711
9380673828624
10122331301321
1147975915329
121b8606091a1
13b6c719b8c8
145cc6c02065
1532ae9ab781
hex1c7b8385c9

122331301321 has 2 divisors, whose sum is σ = 122331301322. Its totient is φ = 122331301320.

The previous prime is 122331301307. The next prime is 122331301343. The reversal of 122331301321 is 123103133221.

It is an a-pointer prime, because the next prime (122331301343) can be obtained adding 122331301321 to its sum of digits (22).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 80792377600 + 41538923721 = 284240^2 + 203811^2 .

It is an emirp because it is prime and its reverse (123103133221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122331301321 - 217 = 122331170249 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122331301292 and 122331301301.

It is not a weakly prime, because it can be changed into another prime (122331301021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61165650660 + 61165650661.

It is an arithmetic number, because the mean of its divisors is an integer number (61165650661).

Almost surely, 2122331301321 is an apocalyptic number.

It is an amenable number.

122331301321 is a deficient number, since it is larger than the sum of its proper divisors (1).

122331301321 is an equidigital number, since it uses as much as digits as its factorization.

122331301321 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 22.

Adding to 122331301321 its reverse (123103133221), we get a palindrome (245434434542).

The spelling of 122331301321 in words is "one hundred twenty-two billion, three hundred thirty-one million, three hundred one thousand, three hundred twenty-one".