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10221001361 is a prime number
BaseRepresentation
bin10011000010011100…
…00001101010010001
3222101022121122222222
421201032001222101
5131413034020421
64410115310425
7511200035534
oct114116015221
928338548888
1010221001361
11437554166a
121b92bab415
13c6b7188cc
146cd650a1b
153ec4b4cab
hex261381a91

10221001361 has 2 divisors, whose sum is σ = 10221001362. Its totient is φ = 10221001360.

The previous prime is 10221001331. The next prime is 10221001363. The reversal of 10221001361 is 16310012201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5857606225 + 4363395136 = 76535^2 + 66056^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10221001361 is a prime.

Together with 10221001363, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10221001363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5110500680 + 5110500681.

It is an arithmetic number, because the mean of its divisors is an integer number (5110500681).

Almost surely, 210221001361 is an apocalyptic number.

It is an amenable number.

10221001361 is a deficient number, since it is larger than the sum of its proper divisors (1).

10221001361 is an equidigital number, since it uses as much as digits as its factorization.

10221001361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 10221001361 its reverse (16310012201), we get a palindrome (26531013562).

The spelling of 10221001361 in words is "ten billion, two hundred twenty-one million, one thousand, three hundred sixty-one".