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122218738141 is a prime number
BaseRepresentation
bin111000111010011001…
…1011111000111011101
3102200110122010012001011
41301310303133013131
54000300444110031
6132051351415221
711554460063503
oct1616463370735
9380418105034
10122218738141
1147918322a05
121b82a984511
13b6a9a79986
145cb5ca0673
1532a4b746b1
hex1c74cdf1dd

122218738141 has 2 divisors, whose sum is σ = 122218738142. Its totient is φ = 122218738140.

The previous prime is 122218738121. The next prime is 122218738151. The reversal of 122218738141 is 141837812221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87056862916 + 35161875225 = 295054^2 + 187515^2 .

It is a cyclic number.

It is not a de Polignac number, because 122218738141 - 221 = 122216640989 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122218738094 and 122218738103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122218738121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61109369070 + 61109369071.

It is an arithmetic number, because the mean of its divisors is an integer number (61109369071).

Almost surely, 2122218738141 is an apocalyptic number.

It is an amenable number.

122218738141 is a deficient number, since it is larger than the sum of its proper divisors (1).

122218738141 is an equidigital number, since it uses as much as digits as its factorization.

122218738141 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 43008, while the sum is 40.

The spelling of 122218738141 in words is "one hundred twenty-two billion, two hundred eighteen million, seven hundred thirty-eight thousand, one hundred forty-one".