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320133100121 is a prime number
BaseRepresentation
bin1001010100010010110…
…10110111001001011001
31010121022121220111000222
410222021122313021121
520221113033200441
6403022255205425
732062124311262
oct4521132671131
91117277814028
10320133100121
1111384987541a
1252063b16875
132425ac690c3
14116ccd93969
1584d9e6bd4b
hex4a896b7259

320133100121 has 2 divisors, whose sum is σ = 320133100122. Its totient is φ = 320133100120.

The previous prime is 320133100033. The next prime is 320133100123. The reversal of 320133100121 is 121001331023.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 317515345225 + 2617754896 = 563485^2 + 51164^2 .

It is an emirp because it is prime and its reverse (121001331023) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-320133100121 is a prime.

Together with 320133100123, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 320133100121.

It is not a weakly prime, because it can be changed into another prime (320133100123) 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, 160066550060 + 160066550061.

It is an arithmetic number, because the mean of its divisors is an integer number (160066550061).

Almost surely, 2320133100121 is an apocalyptic number.

It is an amenable number.

320133100121 is a deficient number, since it is larger than the sum of its proper divisors (1).

320133100121 is an equidigital number, since it uses as much as digits as its factorization.

320133100121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 320133100121 its reverse (121001331023), we get a palindrome (441134431144).

The spelling of 320133100121 in words is "three hundred twenty billion, one hundred thirty-three million, one hundred thousand, one hundred twenty-one".