Search a number
-
+
322121202121223 is a prime number
BaseRepresentation
bin100100100111101111010111…
…1110100111011101000000111
31120020112111010102102122021122
41021033132233310323220013
5314210113210220334343
63101032234245304155
7124564326451164041
oct11117365764735007
91506474112378248
10322121202121223
119370191aa0797a
12301652b6a0505b
1310a97b8c1c20bb
145978a6c3aca91
1527391a1e82068
hex124f7afd3ba07

322121202121223 has 2 divisors, whose sum is σ = 322121202121224. Its totient is φ = 322121202121222.

The previous prime is 322121202121177. The next prime is 322121202121241.

322121202121223 is nontrivially palindromic in base 10.

It is a strong prime.

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 322121202121223 - 28 = 322121202120967 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 322121202121192 and 322121202121201.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (322121202121423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 161060601060611 + 161060601060612.

It is an arithmetic number, because the mean of its divisors is an integer number (161060601060612).

Almost surely, 2322121202121223 is an apocalyptic number.

322121202121223 is a deficient number, since it is larger than the sum of its proper divisors (1).

322121202121223 is an equidigital number, since it uses as much as digits as its factorization.

322121202121223 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 26.

It can be divided in two parts, 32212120 and 2121223, that added together give a palindrome (34333343).

The spelling of 322121202121223 in words is "three hundred twenty-two trillion, one hundred twenty-one billion, two hundred two million, one hundred twenty-one thousand, two hundred twenty-three".