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323312122214101 is a prime number
BaseRepresentation
bin100100110000011001111100…
…0001100100011011011010101
31120101202100002200200200021201
41021200303320030203123111
5314334121211241322401
63103343312152112501
7125046346534020466
oct11140637014433325
91511670080620251
10323312122214101
11940209a0295399
123031807b695731
1310b532825cc7a7
1459ba566a40d6d
15275a154959b01
hex1260cf83236d5

323312122214101 has 2 divisors, whose sum is σ = 323312122214102. Its totient is φ = 323312122214100.

The previous prime is 323312122214089. The next prime is 323312122214119. The reversal of 323312122214101 is 101412221213323.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 235540538128900 + 87771584085201 = 15347330^2 + 9368649^2 .

It is a cyclic number.

It is not a de Polignac number, because 323312122214101 - 215 = 323312122181333 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 323312122214101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (323312122214401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 161656061107050 + 161656061107051.

It is an arithmetic number, because the mean of its divisors is an integer number (161656061107051).

Almost surely, 2323312122214101 is an apocalyptic number.

It is an amenable number.

323312122214101 is a deficient number, since it is larger than the sum of its proper divisors (1).

323312122214101 is an equidigital number, since it uses as much as digits as its factorization.

323312122214101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 323312122214101 its reverse (101412221213323), we get a palindrome (424724343427424).

The spelling of 323312122214101 in words is "three hundred twenty-three trillion, three hundred twelve billion, one hundred twenty-two million, two hundred fourteen thousand, one hundred one".