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122000200229 is a prime number
BaseRepresentation
bin111000110011111000…
…1110101001000100101
3102122220101220022101102
41301213301311020211
53444324022401404
6132013543405445
711546164406645
oct1614761651045
9378811808342
10122000200229
1147815a29166
121b789753885
13b6737018bb
145c94c54525
1532908a771e
hex1c67c75225

122000200229 has 2 divisors, whose sum is σ = 122000200230. Its totient is φ = 122000200228.

The previous prime is 122000200219. The next prime is 122000200243. The reversal of 122000200229 is 922002000221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 80583880129 + 41416320100 = 283873^2 + 203510^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122000200229 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 122000200229.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122000200219) 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, 61000100114 + 61000100115.

It is an arithmetic number, because the mean of its divisors is an integer number (61000100115).

Almost surely, 2122000200229 is an apocalyptic number.

It is an amenable number.

122000200229 is a deficient number, since it is larger than the sum of its proper divisors (1).

122000200229 is an equidigital number, since it uses as much as digits as its factorization.

122000200229 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 122000200229 in words is "one hundred twenty-two billion, two hundred thousand, two hundred twenty-nine".