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122023203101 is a prime number
BaseRepresentation
bin111000110100100100…
…1100101000100011101
3102122222000011222101122
41301221021211010131
53444400414444401
6132020124420325
711546564053502
oct1615111450435
9378860158348
10122023203101
1147827a0a5a8
121b7953a76a5
13b6783c6a77
145c97d214a9
1532928ed21b
hex1c6926511d

122023203101 has 2 divisors, whose sum is σ = 122023203102. Its totient is φ = 122023203100.

The previous prime is 122023203089. The next prime is 122023203103. The reversal of 122023203101 is 101302320221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 114667567876 + 7355635225 = 338626^2 + 85765^2 .

It is a cyclic number.

It is not a de Polignac number, because 122023203101 - 214 = 122023186717 is a prime.

Together with 122023203103, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122023203101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122023203103) 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, 61011601550 + 61011601551.

It is an arithmetic number, because the mean of its divisors is an integer number (61011601551).

Almost surely, 2122023203101 is an apocalyptic number.

It is an amenable number.

122023203101 is a deficient number, since it is larger than the sum of its proper divisors (1).

122023203101 is an equidigital number, since it uses as much as digits as its factorization.

122023203101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 122023203101 its reverse (101302320221), we get a palindrome (223325523322).

The spelling of 122023203101 in words is "one hundred twenty-two billion, twenty-three million, two hundred three thousand, one hundred one".