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122010110009 is a prime number
BaseRepresentation
bin111000110100001011…
…1101000100000111001
3102122221002112210001022
41301220113220200321
53444334042010014
6132014540032225
711546344552304
oct1615027504071
9378832483038
10122010110009
1147820587567
121b790b32675
13b675791388
145c962b3b3b
1532916b3a8e
hex1c685e8839

122010110009 has 2 divisors, whose sum is σ = 122010110010. Its totient is φ = 122010110008.

The previous prime is 122010109999. The next prime is 122010110059. The reversal of 122010110009 is 900011010221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 117618132025 + 4391977984 = 342955^2 + 66272^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122010110009 is a prime.

It is not a weakly prime, because it can be changed into another prime (122010110059) 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, 61005055004 + 61005055005.

It is an arithmetic number, because the mean of its divisors is an integer number (61005055005).

Almost surely, 2122010110009 is an apocalyptic number.

It is an amenable number.

122010110009 is a deficient number, since it is larger than the sum of its proper divisors (1).

122010110009 is an equidigital number, since it uses as much as digits as its factorization.

122010110009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 17.

The spelling of 122010110009 in words is "one hundred twenty-two billion, ten million, one hundred ten thousand, nine".