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10221199361 is a prime number
BaseRepresentation
bin10011000010011101…
…10010000000000001
3222101022222201121022
421201032302000001
5131413111334421
64410123435225
7511201522022
oct114116620001
928338881538
1010221199361
1143756673aa
121b93085b15
13c6b787a79
146cd6a2c49
153ec5037ab
hex2613b2001

10221199361 has 2 divisors, whose sum is σ = 10221199362. Its totient is φ = 10221199360.

The previous prime is 10221199319. The next prime is 10221199381. The reversal of 10221199361 is 16399112201.

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., 9277542400 + 943656961 = 96320^2 + 30719^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10221199361 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 (10221199381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5110599680 + 5110599681.

It is an arithmetic number, because the mean of its divisors is an integer number (5110599681).

Almost surely, 210221199361 is an apocalyptic number.

It is an amenable number.

10221199361 is a deficient number, since it is larger than the sum of its proper divisors (1).

10221199361 is an equidigital number, since it uses as much as digits as its factorization.

10221199361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5832, while the sum is 35.

The spelling of 10221199361 in words is "ten billion, two hundred twenty-one million, one hundred ninety-nine thousand, three hundred sixty-one".