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201222100129 is a prime number
BaseRepresentation
bin1011101101100111000…
…1011001010010100001
3201020101111212210201011
42323121301121102201
511244100324201004
6232235023540521
720352320426101
oct2733161312241
9636344783634
10201222100129
11783796a2106
1232bb8a5a741
1315c8a58094b
149a4c525201
15537a8c8004
hex2ed9c594a1

201222100129 has 2 divisors, whose sum is σ = 201222100130. Its totient is φ = 201222100128.

The previous prime is 201222100099. The next prime is 201222100201. The reversal of 201222100129 is 921001222102.

201222100129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 138869513104 + 62352587025 = 372652^2 + 249705^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-201222100129 is a prime.

It is not a weakly prime, because it can be changed into another prime (201222100229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100611050064 + 100611050065.

It is an arithmetic number, because the mean of its divisors is an integer number (100611050065).

Almost surely, 2201222100129 is an apocalyptic number.

It is an amenable number.

201222100129 is a deficient number, since it is larger than the sum of its proper divisors (1).

201222100129 is an equidigital number, since it uses as much as digits as its factorization.

201222100129 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 22.

The spelling of 201222100129 in words is "two hundred one billion, two hundred twenty-two million, one hundred thousand, one hundred twenty-nine".