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122212102109 is a prime number
BaseRepresentation
bin111000111010001101…
…0001010111111011101
3102200110011122001010012
41301310122022333131
54000242244231414
6132050553253005
711554346504456
oct1616432127735
9380404561105
10122212102109
1147914600189
121b828704165
13b6a8595326
145cb505412d
1532a42b333e
hex1c7468afdd

122212102109 has 2 divisors, whose sum is σ = 122212102110. Its totient is φ = 122212102108.

The previous prime is 122212102069. The next prime is 122212102147. The reversal of 122212102109 is 901201212221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66626966884 + 55585135225 = 258122^2 + 235765^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122212102109 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122212102609) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61106051054 + 61106051055.

It is an arithmetic number, because the mean of its divisors is an integer number (61106051055).

Almost surely, 2122212102109 is an apocalyptic number.

It is an amenable number.

122212102109 is a deficient number, since it is larger than the sum of its proper divisors (1).

122212102109 is an equidigital number, since it uses as much as digits as its factorization.

122212102109 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 23.

The spelling of 122212102109 in words is "one hundred twenty-two billion, two hundred twelve million, one hundred two thousand, one hundred nine".