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321100221313 is a prime number
BaseRepresentation
bin1001010110000110001…
…00001000101110000001
31010200211000201022220101
410223003010020232001
520230103124040223
6403302244042401
732125106563504
oct4530304105601
91120730638811
10321100221313
111141a5781933
1252293993401
1324383433b71
14117815c313b
158544d064ad
hex4ac3108b81

321100221313 has 2 divisors, whose sum is σ = 321100221314. Its totient is φ = 321100221312.

The previous prime is 321100221271. The next prime is 321100221317. The reversal of 321100221313 is 313122001123.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 261032093569 + 60068127744 = 510913^2 + 245088^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-321100221313 is a prime.

It is a super-3 number, since 3×3211002213133 (a number of 35 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (321100221317) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 160550110656 + 160550110657.

It is an arithmetic number, because the mean of its divisors is an integer number (160550110657).

Almost surely, 2321100221313 is an apocalyptic number.

It is an amenable number.

321100221313 is a deficient number, since it is larger than the sum of its proper divisors (1).

321100221313 is an equidigital number, since it uses as much as digits as its factorization.

321100221313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 321100221313 its reverse (313122001123), we get a palindrome (634222222436).

The spelling of 321100221313 in words is "three hundred twenty-one billion, one hundred million, two hundred twenty-one thousand, three hundred thirteen".