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321385814201 is a prime number
BaseRepresentation
bin1001010110101000001…
…01100101100010111001
31010201112221002221200202
410223110011211202321
520231144232023301
6403350445211545
732135145230024
oct4532405454271
91121487087622
10321385814201
11114331a06011
1252353560bb5
13243ca65913a
14117ab4c61bb
15855ee1b66b
hex4ad41658b9

321385814201 has 2 divisors, whose sum is σ = 321385814202. Its totient is φ = 321385814200.

The previous prime is 321385814171. The next prime is 321385814221. The reversal of 321385814201 is 102418583123.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 292519804201 + 28866010000 = 540851^2 + 169900^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-321385814201 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (321385814221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 160692907100 + 160692907101.

It is an arithmetic number, because the mean of its divisors is an integer number (160692907101).

Almost surely, 2321385814201 is an apocalyptic number.

It is an amenable number.

321385814201 is a deficient number, since it is larger than the sum of its proper divisors (1).

321385814201 is an equidigital number, since it uses as much as digits as its factorization.

321385814201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 46080, while the sum is 38.

The spelling of 321385814201 in words is "three hundred twenty-one billion, three hundred eighty-five million, eight hundred fourteen thousand, two hundred one".