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201300300000221 is a prime number
BaseRepresentation
bin101101110001010011100000…
…110111111110101111011101
3222101202010021000111002201212
4231301103200313332233131
5202341101003300001341
61552044025311114205
760254316043046342
oct5561234067765735
9871663230432655
10201300300000221
115915aa8350a104
121a6b141b212965
1388426c9584236
14379cdb4d827c9
1518414394c35eb
hexb714e0dfebdd

201300300000221 has 2 divisors, whose sum is σ = 201300300000222. Its totient is φ = 201300300000220.

The previous prime is 201300300000187. The next prime is 201300300000251. The reversal of 201300300000221 is 122000003003102.

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., 134383482727321 + 66916817272900 = 11592389^2 + 8180270^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-201300300000221 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 201300300000196 and 201300300000205.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (201300300000251) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100650150000110 + 100650150000111.

It is an arithmetic number, because the mean of its divisors is an integer number (100650150000111).

Almost surely, 2201300300000221 is an apocalyptic number.

It is an amenable number.

201300300000221 is a deficient number, since it is larger than the sum of its proper divisors (1).

201300300000221 is an equidigital number, since it uses as much as digits as its factorization.

201300300000221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 201300300000221 its reverse (122000003003102), we get a palindrome (323300303003323).

The spelling of 201300300000221 in words is "two hundred one trillion, three hundred billion, three hundred million, two hundred twenty-one", and thus it is an aban number.