Search a number
-
+
323122112022097 is a prime number
BaseRepresentation
bin100100101111000001011101…
…0101101001100011001010001
31120101002011122112222211010001
41021132002322231030121101
5314323013041134201342
63103120125442210001
7125026542105026233
oct11136027255143121
91511064575884101
10323122112022097
1193a58355507863
12302a7291653901
1310b3b390b3ca0b
1459b129d5cc253
15275523352d8b7
hex125e0bab4c651

323122112022097 has 2 divisors, whose sum is σ = 323122112022098. Its totient is φ = 323122112022096.

The previous prime is 323122112022079. The next prime is 323122112022113. The reversal of 323122112022097 is 790220211221323.

Together with previous prime (323122112022079) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 234625928790016 + 88496183232081 = 15317504^2 + 9407241^2 .

It is an emirp because it is prime and its reverse (790220211221323) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-323122112022097 is a prime.

It is not a weakly prime, because it can be changed into another prime (323122112022797) 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, 161561056011048 + 161561056011049.

It is an arithmetic number, because the mean of its divisors is an integer number (161561056011049).

Almost surely, 2323122112022097 is an apocalyptic number.

It is an amenable number.

323122112022097 is a deficient number, since it is larger than the sum of its proper divisors (1).

323122112022097 is an equidigital number, since it uses as much as digits as its factorization.

323122112022097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36288, while the sum is 37.

The spelling of 323122112022097 in words is "three hundred twenty-three trillion, one hundred twenty-two billion, one hundred twelve million, twenty-two thousand, ninety-seven".