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320121320017 is a prime number
BaseRepresentation
bin1001010100010001011…
…01111011001001010001
31010121021210201222202211
410222020231323021101
520221102024220032
6403021154512121
732061622216042
oct4521055731121
91117253658684
10320121320017
111138431598a4
125205bb95641
13242586a3225
14116cb5a88c9
1584d8de1747
hex4a88b7b251

320121320017 has 2 divisors, whose sum is σ = 320121320018. Its totient is φ = 320121320016.

The previous prime is 320121319997. The next prime is 320121320021. The reversal of 320121320017 is 710023121023.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 307541230096 + 12580089921 = 554564^2 + 112161^2 .

It is an emirp because it is prime and its reverse (710023121023) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-320121320017 is a prime.

It is a super-3 number, since 3×3201213200173 (a number of 35 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 320121320017.

It is not a weakly prime, because it can be changed into another prime (320121327017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 160060660008 + 160060660009.

It is an arithmetic number, because the mean of its divisors is an integer number (160060660009).

Almost surely, 2320121320017 is an apocalyptic number.

It is an amenable number.

320121320017 is a deficient number, since it is larger than the sum of its proper divisors (1).

320121320017 is an equidigital number, since it uses as much as digits as its factorization.

320121320017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 504, while the sum is 22.

The spelling of 320121320017 in words is "three hundred twenty billion, one hundred twenty-one million, three hundred twenty thousand, seventeen".