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10222000049 is a prime number
BaseRepresentation
bin10011000010100011…
…10101011110110001
3222101101111101221102
421201101311132301
5131413313000144
64410152534145
7511211365262
oct114121653661
928341441842
1010222000049
114376063a28
121b933b1355
13c6b9a8351
146cd830969
153ec610b4e
hex2614757b1

10222000049 has 2 divisors, whose sum is σ = 10222000050. Its totient is φ = 10222000048.

The previous prime is 10222000013. The next prime is 10222000073. The reversal of 10222000049 is 94000022201.

10222000049 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8818149025 + 1403851024 = 93905^2 + 37468^2 .

It is a cyclic number.

It is not a de Polignac number, because 10222000049 - 28 = 10221999793 is a prime.

It is not a weakly prime, because it can be changed into another prime (10222000099) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5111000024 + 5111000025.

It is an arithmetic number, because the mean of its divisors is an integer number (5111000025).

Almost surely, 210222000049 is an apocalyptic number.

It is an amenable number.

10222000049 is a deficient number, since it is larger than the sum of its proper divisors (1).

10222000049 is an equidigital number, since it uses as much as digits as its factorization.

10222000049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 20.

The spelling of 10222000049 in words is "ten billion, two hundred twenty-two million, forty-nine", and thus it is an aban number.